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Finding the Fourth Proportional to 578.14, 867.17 and 193.39

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Solution

The fourth proportional to 578.14, 867.17 and 193.39 is: 290.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    578.14 : 867.17 = 193.39 : x
  2. Step 2: Convert to fraction form
    578.14/867.17 = 193.39/x
  3. Step 3: Cross multiply
    578.14x = 867.17 × 193.39
  4. Step 4: Simplify right side
    578.14x = 167,700.32
  5. Step 5: Solve for x
    x = 167,700.32/578.14
  6. Step 6: Final answer
    x = 290.07

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Double scale
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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.