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Finding the Fourth Proportional to 398.62, 597.57 and 142.06

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Solution

The fourth proportional to 398.62, 597.57 and 142.06 is: 212.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    398.62 : 597.57 = 142.06 : x
  2. Step 2: Convert to fraction form
    398.62/597.57 = 142.06/x
  3. Step 3: Cross multiply
    398.62x = 597.57 × 142.06
  4. Step 4: Simplify right side
    398.62x = 84,888.77
  5. Step 5: Solve for x
    x = 84,888.77/398.62
  6. Step 6: Final answer
    x = 212.96

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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.