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Finding the Fourth Proportional to 102.22, 141.12 and 77.72

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Solution

The fourth proportional to 102.22, 141.12 and 77.72 is: 107.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    102.22 : 141.12 = 77.72 : x
  2. Step 2: Convert to fraction form
    102.22/141.12 = 77.72/x
  3. Step 3: Cross multiply
    102.22x = 141.12 × 77.72
  4. Step 4: Simplify right side
    102.22x = 10,967.85
  5. Step 5: Solve for x
    x = 10,967.85/102.22
  6. Step 6: Final answer
    x = 107.30

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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.