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Finding the Fourth Proportional to 149.27, 224.18 and 95.18

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Solution

The fourth proportional to 149.27, 224.18 and 95.18 is: 142.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    149.27 : 224.18 = 95.18 : x
  2. Step 2: Convert to fraction form
    149.27/224.18 = 95.18/x
  3. Step 3: Cross multiply
    149.27x = 224.18 × 95.18
  4. Step 4: Simplify right side
    149.27x = 21,336.98
  5. Step 5: Solve for x
    x = 21,336.98/149.27
  6. Step 6: Final answer
    x = 142.94

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.