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Finding the Fourth Proportional to 101.77, 141.02 and 100.52

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Solution

The fourth proportional to 101.77, 141.02 and 100.52 is: 139.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    101.77 : 141.02 = 100.52 : x
  2. Step 2: Convert to fraction form
    101.77/141.02 = 100.52/x
  3. Step 3: Cross multiply
    101.77x = 141.02 × 100.52
  4. Step 4: Simplify right side
    101.77x = 14,176.39
  5. Step 5: Solve for x
    x = 14,176.39/101.77
  6. Step 6: Final answer
    x = 139.29

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.