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Finding the Fourth Proportional to 224.64, 309.96 and 141.76

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Solution

The fourth proportional to 224.64, 309.96 and 141.76 is: 195.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    224.64 : 309.96 = 141.76 : x
  2. Step 2: Convert to fraction form
    224.64/309.96 = 141.76/x
  3. Step 3: Cross multiply
    224.64x = 309.96 × 141.76
  4. Step 4: Simplify right side
    224.64x = 43,939.93
  5. Step 5: Solve for x
    x = 43,939.93/224.64
  6. Step 6: Final answer
    x = 195.60

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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.