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Finding the Fourth Proportional to 224.68, 310.06 and 141.76

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Solution

The fourth proportional to 224.68, 310.06 and 141.76 is: 195.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    224.68 : 310.06 = 141.76 : x
  2. Step 2: Convert to fraction form
    224.68/310.06 = 141.76/x
  3. Step 3: Cross multiply
    224.68x = 310.06 × 141.76
  4. Step 4: Simplify right side
    224.68x = 43,954.11
  5. Step 5: Solve for x
    x = 43,954.11/224.68
  6. Step 6: Final answer
    x = 195.63

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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.