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Finding the Fourth Proportional to 129.05, 178.30 and 127.77

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Solution

The fourth proportional to 129.05, 178.30 and 127.77 is: 176.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    129.05 : 178.30 = 127.77 : x
  2. Step 2: Convert to fraction form
    129.05/178.30 = 127.77/x
  3. Step 3: Cross multiply
    129.05x = 178.30 × 127.77
  4. Step 4: Simplify right side
    129.05x = 22,781.39
  5. Step 5: Solve for x
    x = 22,781.39/129.05
  6. Step 6: Final answer
    x = 176.53

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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.