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Finding the Fourth Proportional to 398.63, 597.96 and 142.13

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Solution

The fourth proportional to 398.63, 597.96 and 142.13 is: 213.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    398.63 : 597.96 = 142.13 : x
  2. Step 2: Convert to fraction form
    398.63/597.96 = 142.13/x
  3. Step 3: Cross multiply
    398.63x = 597.96 × 142.13
  4. Step 4: Simplify right side
    398.63x = 84,985.07
  5. Step 5: Solve for x
    x = 84,985.07/398.63
  6. Step 6: Final answer
    x = 213.20

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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.