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Finding the Fourth Proportional to 394.90, 592.04 and 151.29

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Solution

The fourth proportional to 394.90, 592.04 and 151.29 is: 226.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    394.90 : 592.04 = 151.29 : x
  2. Step 2: Convert to fraction form
    394.90/592.04 = 151.29/x
  3. Step 3: Cross multiply
    394.90x = 592.04 × 151.29
  4. Step 4: Simplify right side
    394.90x = 89,570.11
  5. Step 5: Solve for x
    x = 89,570.11/394.90
  6. Step 6: Final answer
    x = 226.82

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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.