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Finding the Fourth Proportional to 398.32, 597.26 and 138.29

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Solution

The fourth proportional to 398.32, 597.26 and 138.29 is: 207.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    398.32 : 597.26 = 138.29 : x
  2. Step 2: Convert to fraction form
    398.32/597.26 = 138.29/x
  3. Step 3: Cross multiply
    398.32x = 597.26 × 138.29
  4. Step 4: Simplify right side
    398.32x = 82,592.44
  5. Step 5: Solve for x
    x = 82,592.44/398.32
  6. Step 6: Final answer
    x = 207.35

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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.