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Finding the Fourth Proportional to 224.57, 310.05 and 183.20

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Solution

The fourth proportional to 224.57, 310.05 and 183.20 is: 252.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    224.57 : 310.05 = 183.20 : x
  2. Step 2: Convert to fraction form
    224.57/310.05 = 183.20/x
  3. Step 3: Cross multiply
    224.57x = 310.05 × 183.20
  4. Step 4: Simplify right side
    224.57x = 56,799.61
  5. Step 5: Solve for x
    x = 56,799.61/224.57
  6. Step 6: Final answer
    x = 252.92

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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.