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Finding the Fourth Proportional to 578.41, 867.62 and 193.66

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Solution

The fourth proportional to 578.41, 867.62 and 193.66 is: 290.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    578.41 : 867.62 = 193.66 : x
  2. Step 2: Convert to fraction form
    578.41/867.62 = 193.66/x
  3. Step 3: Cross multiply
    578.41x = 867.62 × 193.66
  4. Step 4: Simplify right side
    578.41x = 168,017.98
  5. Step 5: Solve for x
    x = 168,017.98/578.41
  6. Step 6: Final answer
    x = 290.49

Related Problems

Find fourth proportional to 289.20, 433.81 and 96.83
Half scale
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Double scale
Find fourth proportional to 579.41, 869.12 and 194.66
Similar ratio
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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.