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Finding the Fourth Proportional to 398.61, 598.52 and 255.24

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Solution

The fourth proportional to 398.61, 598.52 and 255.24 is: 383.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    398.61 : 598.52 = 255.24 : x
  2. Step 2: Convert to fraction form
    398.61/598.52 = 255.24/x
  3. Step 3: Cross multiply
    398.61x = 598.52 × 255.24
  4. Step 4: Simplify right side
    398.61x = 152,764.97
  5. Step 5: Solve for x
    x = 152,764.97/398.61
  6. Step 6: Final answer
    x = 383.24

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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.