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Finding the Fourth Proportional to 642.47, 962.82 and 231.19

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Solution

The fourth proportional to 642.47, 962.82 and 231.19 is: 346.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    642.47 : 962.82 = 231.19 : x
  2. Step 2: Convert to fraction form
    642.47/962.82 = 231.19/x
  3. Step 3: Cross multiply
    642.47x = 962.82 × 231.19
  4. Step 4: Simplify right side
    642.47x = 222,591.95
  5. Step 5: Solve for x
    x = 222,591.95/642.47
  6. Step 6: Final answer
    x = 346.47

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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.