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Finding the Fourth Proportional to 166.76, 251.51 and 152.18

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Solution

The fourth proportional to 166.76, 251.51 and 152.18 is: 229.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    166.76 : 251.51 = 152.18 : x
  2. Step 2: Convert to fraction form
    166.76/251.51 = 152.18/x
  3. Step 3: Cross multiply
    166.76x = 251.51 × 152.18
  4. Step 4: Simplify right side
    166.76x = 38,273.72
  5. Step 5: Solve for x
    x = 38,273.72/166.76
  6. Step 6: Final answer
    x = 229.52

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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.