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Finding the Fourth Proportional to 102.24, 153.31 and 71.82

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Solution

The fourth proportional to 102.24, 153.31 and 71.82 is: 107.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    102.24 : 153.31 = 71.82 : x
  2. Step 2: Convert to fraction form
    102.24/153.31 = 71.82/x
  3. Step 3: Cross multiply
    102.24x = 153.31 × 71.82
  4. Step 4: Simplify right side
    102.24x = 11,010.72
  5. Step 5: Solve for x
    x = 11,010.72/102.24
  6. Step 6: Final answer
    x = 107.69

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.