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Finding the Fourth Proportional to 102.48, 140.49 and 100.88

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Solution

The fourth proportional to 102.48, 140.49 and 100.88 is: 138.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    102.48 : 140.49 = 100.88 : x
  2. Step 2: Convert to fraction form
    102.48/140.49 = 100.88/x
  3. Step 3: Cross multiply
    102.48x = 140.49 × 100.88
  4. Step 4: Simplify right side
    102.48x = 14,172.63
  5. Step 5: Solve for x
    x = 14,172.63/102.48
  6. Step 6: Final answer
    x = 138.30

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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.