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Finding the Fourth Proportional to 227.40, 341.12 and 99.06

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Solution

The fourth proportional to 227.40, 341.12 and 99.06 is: 148.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    227.40 : 341.12 = 99.06 : x
  2. Step 2: Convert to fraction form
    227.40/341.12 = 99.06/x
  3. Step 3: Cross multiply
    227.40x = 341.12 × 99.06
  4. Step 4: Simplify right side
    227.40x = 33,791.35
  5. Step 5: Solve for x
    x = 33,791.35/227.40
  6. Step 6: Final answer
    x = 148.60

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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.