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Finding the Fourth Proportional to 102.77, 141.61 and 87.28

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Solution

The fourth proportional to 102.77, 141.61 and 87.28 is: 120.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    102.77 : 141.61 = 87.28 : x
  2. Step 2: Convert to fraction form
    102.77/141.61 = 87.28/x
  3. Step 3: Cross multiply
    102.77x = 141.61 × 87.28
  4. Step 4: Simplify right side
    102.77x = 12,359.72
  5. Step 5: Solve for x
    x = 12,359.72/102.77
  6. Step 6: Final answer
    x = 120.27

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.