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Finding the Fourth Proportional to 227.47, 341.39 and 99.31

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Solution

The fourth proportional to 227.47, 341.39 and 99.31 is: 149.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    227.47 : 341.39 = 99.31 : x
  2. Step 2: Convert to fraction form
    227.47/341.39 = 99.31/x
  3. Step 3: Cross multiply
    227.47x = 341.39 × 99.31
  4. Step 4: Simplify right side
    227.47x = 33,903.44
  5. Step 5: Solve for x
    x = 33,903.44/227.47
  6. Step 6: Final answer
    x = 149.05

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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.