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Finding the Fourth Proportional to 578.38, 867.70 and 193.64

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Solution

The fourth proportional to 578.38, 867.70 and 193.64 is: 290.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    578.38 : 867.70 = 193.64 : x
  2. Step 2: Convert to fraction form
    578.38/867.70 = 193.64/x
  3. Step 3: Cross multiply
    578.38x = 867.70 × 193.64
  4. Step 4: Simplify right side
    578.38x = 168,021.43
  5. Step 5: Solve for x
    x = 168,021.43/578.38
  6. Step 6: Final answer
    x = 290.50

Related Problems

Find fourth proportional to 289.19, 433.85 and 96.82
Half scale
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Double scale
Find fourth proportional to 579.38, 869.20 and 194.64
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.