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Finding the Fourth Proportional to 115.12, 158.84 and 107.36

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Solution

The fourth proportional to 115.12, 158.84 and 107.36 is: 148.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    115.12 : 158.84 = 107.36 : x
  2. Step 2: Convert to fraction form
    115.12/158.84 = 107.36/x
  3. Step 3: Cross multiply
    115.12x = 158.84 × 107.36
  4. Step 4: Simplify right side
    115.12x = 17,053.06
  5. Step 5: Solve for x
    x = 17,053.06/115.12
  6. Step 6: Final answer
    x = 148.13

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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.