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Finding the Fourth Proportional to 174.48, 240.72 and 149.76

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Solution

The fourth proportional to 174.48, 240.72 and 149.76 is: 206.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    174.48 : 240.72 = 149.76 : x
  2. Step 2: Convert to fraction form
    174.48/240.72 = 149.76/x
  3. Step 3: Cross multiply
    174.48x = 240.72 × 149.76
  4. Step 4: Simplify right side
    174.48x = 36,050.23
  5. Step 5: Solve for x
    x = 36,050.23/174.48
  6. Step 6: Final answer
    x = 206.62

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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.