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Finding the Fourth Proportional to 175.52, 264.20 and 149.10

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Solution

The fourth proportional to 175.52, 264.20 and 149.10 is: 224.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    175.52 : 264.20 = 149.10 : x
  2. Step 2: Convert to fraction form
    175.52/264.20 = 149.10/x
  3. Step 3: Cross multiply
    175.52x = 264.20 × 149.10
  4. Step 4: Simplify right side
    175.52x = 39,391.56
  5. Step 5: Solve for x
    x = 39,391.56/175.52
  6. Step 6: Final answer
    x = 224.42

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.