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Finding the Fourth Proportional to 102.81, 140.80 and 101.46

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Solution

The fourth proportional to 102.81, 140.80 and 101.46 is: 138.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    102.81 : 140.80 = 101.46 : x
  2. Step 2: Convert to fraction form
    102.81/140.80 = 101.46/x
  3. Step 3: Cross multiply
    102.81x = 140.80 × 101.46
  4. Step 4: Simplify right side
    102.81x = 14,285.06
  5. Step 5: Solve for x
    x = 14,285.06/102.81
  6. Step 6: Final answer
    x = 138.95

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.