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Finding the Fourth Proportional to 224.88, 310.16 and 147.12

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Solution

The fourth proportional to 224.88, 310.16 and 147.12 is: 202.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    224.88 : 310.16 = 147.12 : x
  2. Step 2: Convert to fraction form
    224.88/310.16 = 147.12/x
  3. Step 3: Cross multiply
    224.88x = 310.16 × 147.12
  4. Step 4: Simplify right side
    224.88x = 45,630.74
  5. Step 5: Solve for x
    x = 45,630.74/224.88
  6. Step 6: Final answer
    x = 202.91

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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.