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Finding the Fourth Proportional to 101.66, 140.31 and 64.85

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Solution

The fourth proportional to 101.66, 140.31 and 64.85 is: 89.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    101.66 : 140.31 = 64.85 : x
  2. Step 2: Convert to fraction form
    101.66/140.31 = 64.85/x
  3. Step 3: Cross multiply
    101.66x = 140.31 × 64.85
  4. Step 4: Simplify right side
    101.66x = 9,098.40
  5. Step 5: Solve for x
    x = 9,098.40/101.66
  6. Step 6: Final answer
    x = 89.50

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.