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Finding the Fourth Proportional to 115.27, 173.78 and 102.59

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Solution

The fourth proportional to 115.27, 173.78 and 102.59 is: 154.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    115.27 : 173.78 = 102.59 : x
  2. Step 2: Convert to fraction form
    115.27/173.78 = 102.59/x
  3. Step 3: Cross multiply
    115.27x = 173.78 × 102.59
  4. Step 4: Simplify right side
    115.27x = 17,828.67
  5. Step 5: Solve for x
    x = 17,828.67/115.27
  6. Step 6: Final answer
    x = 154.66

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.