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Finding the Fourth Proportional to 227.71, 341.56 and 130.24

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Solution

The fourth proportional to 227.71, 341.56 and 130.24 is: 195.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    227.71 : 341.56 = 130.24 : x
  2. Step 2: Convert to fraction form
    227.71/341.56 = 130.24/x
  3. Step 3: Cross multiply
    227.71x = 341.56 × 130.24
  4. Step 4: Simplify right side
    227.71x = 44,484.77
  5. Step 5: Solve for x
    x = 44,484.77/227.71
  6. Step 6: Final answer
    x = 195.36

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.