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Finding the Fourth Proportional to 398.89, 598.23 and 155.28

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Solution

The fourth proportional to 398.89, 598.23 and 155.28 is: 232.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    398.89 : 598.23 = 155.28 : x
  2. Step 2: Convert to fraction form
    398.89/598.23 = 155.28/x
  3. Step 3: Cross multiply
    398.89x = 598.23 × 155.28
  4. Step 4: Simplify right side
    398.89x = 92,892.38
  5. Step 5: Solve for x
    x = 92,892.38/398.89
  6. Step 6: Final answer
    x = 232.88

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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.