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Finding the Fourth Proportional to 102.42, 140.40 and 100.58

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Solution

The fourth proportional to 102.42, 140.40 and 100.58 is: 137.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    102.42 : 140.40 = 100.58 : x
  2. Step 2: Convert to fraction form
    102.42/140.40 = 100.58/x
  3. Step 3: Cross multiply
    102.42x = 140.40 × 100.58
  4. Step 4: Simplify right side
    102.42x = 14,121.43
  5. Step 5: Solve for x
    x = 14,121.43/102.42
  6. Step 6: Final answer
    x = 137.88

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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.