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Finding the Fourth Proportional to 398.17, 596.90 and 141.61

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Solution

The fourth proportional to 398.17, 596.90 and 141.61 is: 212.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    398.17 : 596.90 = 141.61 : x
  2. Step 2: Convert to fraction form
    398.17/596.90 = 141.61/x
  3. Step 3: Cross multiply
    398.17x = 596.90 × 141.61
  4. Step 4: Simplify right side
    398.17x = 84,528.07
  5. Step 5: Solve for x
    x = 84,528.07/398.17
  6. Step 6: Final answer
    x = 212.29

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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.