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Finding the Fourth Proportional to 102.92, 142.77 and 100.28

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Solution

The fourth proportional to 102.92, 142.77 and 100.28 is: 139.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    102.92 : 142.77 = 100.28 : x
  2. Step 2: Convert to fraction form
    102.92/142.77 = 100.28/x
  3. Step 3: Cross multiply
    102.92x = 142.77 × 100.28
  4. Step 4: Simplify right side
    102.92x = 14,316.98
  5. Step 5: Solve for x
    x = 14,316.98/102.92
  6. Step 6: Final answer
    x = 139.11

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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.