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Finding the Fourth Proportional to 62.31, 93.49 and 43.07

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Solution

The fourth proportional to 62.31, 93.49 and 43.07 is: 64.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    62.31 : 93.49 = 43.07 : x
  2. Step 2: Convert to fraction form
    62.31/93.49 = 43.07/x
  3. Step 3: Cross multiply
    62.31x = 93.49 × 43.07
  4. Step 4: Simplify right side
    62.31x = 4,026.61
  5. Step 5: Solve for x
    x = 4,026.61/62.31
  6. Step 6: Final answer
    x = 64.62

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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.