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Finding the Fourth Proportional to 115.31, 159.26 and 87.63

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Solution

The fourth proportional to 115.31, 159.26 and 87.63 is: 121.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    115.31 : 159.26 = 87.63 : x
  2. Step 2: Convert to fraction form
    115.31/159.26 = 87.63/x
  3. Step 3: Cross multiply
    115.31x = 159.26 × 87.63
  4. Step 4: Simplify right side
    115.31x = 13,954.72
  5. Step 5: Solve for x
    x = 13,954.72/115.31
  6. Step 6: Final answer
    x = 121.02

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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.