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Finding the Fourth Proportional to 224.48, 310.14 and 169.40

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Solution

The fourth proportional to 224.48, 310.14 and 169.40 is: 234.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    224.48 : 310.14 = 169.40 : x
  2. Step 2: Convert to fraction form
    224.48/310.14 = 169.40/x
  3. Step 3: Cross multiply
    224.48x = 310.14 × 169.40
  4. Step 4: Simplify right side
    224.48x = 52,536.17
  5. Step 5: Solve for x
    x = 52,536.17/224.48
  6. Step 6: Final answer
    x = 234.04

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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.