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Finding the Fourth Proportional to 398.58, 597.71 and 142.10

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Solution

The fourth proportional to 398.58, 597.71 and 142.10 is: 213.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    398.58 : 597.71 = 142.10 : x
  2. Step 2: Convert to fraction form
    398.58/597.71 = 142.10/x
  3. Step 3: Cross multiply
    398.58x = 597.71 × 142.10
  4. Step 4: Simplify right side
    398.58x = 84,934.59
  5. Step 5: Solve for x
    x = 84,934.59/398.58
  6. Step 6: Final answer
    x = 213.09

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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.