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Finding the Fourth Proportional to 115.47, 160.03 and 113.31

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Solution

The fourth proportional to 115.47, 160.03 and 113.31 is: 157.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    115.47 : 160.03 = 113.31 : x
  2. Step 2: Convert to fraction form
    115.47/160.03 = 113.31/x
  3. Step 3: Cross multiply
    115.47x = 160.03 × 113.31
  4. Step 4: Simplify right side
    115.47x = 18,133.00
  5. Step 5: Solve for x
    x = 18,133.00/115.47
  6. Step 6: Final answer
    x = 157.04

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.