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Finding the Fourth Proportional to 129.68, 178 and 112.40

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Solution

The fourth proportional to 129.68, 178 and 112.40 is: 154.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    129.68 : 178 = 112.40 : x
  2. Step 2: Convert to fraction form
    129.68/178 = 112.40/x
  3. Step 3: Cross multiply
    129.68x = 178 × 112.40
  4. Step 4: Simplify right side
    129.68x = 20,007.20
  5. Step 5: Solve for x
    x = 20,007.20/129.68
  6. Step 6: Final answer
    x = 154.28

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1.5x scale

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.