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Finding the Fourth Proportional to 224.96, 310.62 and 175.76

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Solution

The fourth proportional to 224.96, 310.62 and 175.76 is: 242.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    224.96 : 310.62 = 175.76 : x
  2. Step 2: Convert to fraction form
    224.96/310.62 = 175.76/x
  3. Step 3: Cross multiply
    224.96x = 310.62 × 175.76
  4. Step 4: Simplify right side
    224.96x = 54,593.02
  5. Step 5: Solve for x
    x = 54,593.02/224.96
  6. Step 6: Final answer
    x = 242.68

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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.