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Finding the Fourth Proportional to 102.71, 153.84 and 77.07

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Solution

The fourth proportional to 102.71, 153.84 and 77.07 is: 115.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    102.71 : 153.84 = 77.07 : x
  2. Step 2: Convert to fraction form
    102.71/153.84 = 77.07/x
  3. Step 3: Cross multiply
    102.71x = 153.84 × 77.07
  4. Step 4: Simplify right side
    102.71x = 11,856.45
  5. Step 5: Solve for x
    x = 11,856.45/102.71
  6. Step 6: Final answer
    x = 115.44

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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.