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Finding the Fourth Proportional to 227.90, 314.47 and 129.64

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Solution

The fourth proportional to 227.90, 314.47 and 129.64 is: 178.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    227.90 : 314.47 = 129.64 : x
  2. Step 2: Convert to fraction form
    227.90/314.47 = 129.64/x
  3. Step 3: Cross multiply
    227.90x = 314.47 × 129.64
  4. Step 4: Simplify right side
    227.90x = 40,767.89
  5. Step 5: Solve for x
    x = 40,767.89/227.90
  6. Step 6: Final answer
    x = 178.88

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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.