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Finding the Fourth Proportional to 129.98, 178.23 and 128.36

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Solution

The fourth proportional to 129.98, 178.23 and 128.36 is: 176.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    129.98 : 178.23 = 128.36 : x
  2. Step 2: Convert to fraction form
    129.98/178.23 = 128.36/x
  3. Step 3: Cross multiply
    129.98x = 178.23 × 128.36
  4. Step 4: Simplify right side
    129.98x = 22,877.60
  5. Step 5: Solve for x
    x = 22,877.60/129.98
  6. Step 6: Final answer
    x = 176.01

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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.