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Finding the Fourth Proportional to 398.53, 598.11 and 215.92

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Solution

The fourth proportional to 398.53, 598.11 and 215.92 is: 324.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    398.53 : 598.11 = 215.92 : x
  2. Step 2: Convert to fraction form
    398.53/598.11 = 215.92/x
  3. Step 3: Cross multiply
    398.53x = 598.11 × 215.92
  4. Step 4: Simplify right side
    398.53x = 129,143.91
  5. Step 5: Solve for x
    x = 129,143.91/398.53
  6. Step 6: Final answer
    x = 324.05

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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.