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Finding the Fourth Proportional to 394.92, 592.47 and 151.45

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Solution

The fourth proportional to 394.92, 592.47 and 151.45 is: 227.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    394.92 : 592.47 = 151.45 : x
  2. Step 2: Convert to fraction form
    394.92/592.47 = 151.45/x
  3. Step 3: Cross multiply
    394.92x = 592.47 × 151.45
  4. Step 4: Simplify right side
    394.92x = 89,728.10
  5. Step 5: Solve for x
    x = 89,728.10/394.92
  6. Step 6: Final answer
    x = 227.21

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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.