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Finding the Fourth Proportional to 115.04, 157.70 and 112.97

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Solution

The fourth proportional to 115.04, 157.70 and 112.97 is: 154.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    115.04 : 157.70 = 112.97 : x
  2. Step 2: Convert to fraction form
    115.04/157.70 = 112.97/x
  3. Step 3: Cross multiply
    115.04x = 157.70 × 112.97
  4. Step 4: Simplify right side
    115.04x = 17,814.02
  5. Step 5: Solve for x
    x = 17,814.02/115.04
  6. Step 6: Final answer
    x = 154.86

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.