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Finding the Fourth Proportional to 115.04, 157.80 and 112.31

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Solution

The fourth proportional to 115.04, 157.80 and 112.31 is: 154.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    115.04 : 157.80 = 112.31 : x
  2. Step 2: Convert to fraction form
    115.04/157.80 = 112.31/x
  3. Step 3: Cross multiply
    115.04x = 157.80 × 112.31
  4. Step 4: Simplify right side
    115.04x = 17,722.52
  5. Step 5: Solve for x
    x = 17,722.52/115.04
  6. Step 6: Final answer
    x = 154.06

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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.