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Finding the Fourth Proportional to 399.17, 598.40 and 142.61

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Solution

The fourth proportional to 399.17, 598.40 and 142.61 is: 213.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    399.17 : 598.40 = 142.61 : x
  2. Step 2: Convert to fraction form
    399.17/598.40 = 142.61/x
  3. Step 3: Cross multiply
    399.17x = 598.40 × 142.61
  4. Step 4: Simplify right side
    399.17x = 85,337.82
  5. Step 5: Solve for x
    x = 85,337.82/399.17
  6. Step 6: Final answer
    x = 213.79

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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.