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Finding the Fourth Proportional to 166.71, 247.97 and 152.10

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Solution

The fourth proportional to 166.71, 247.97 and 152.10 is: 226.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    166.71 : 247.97 = 152.10 : x
  2. Step 2: Convert to fraction form
    166.71/247.97 = 152.10/x
  3. Step 3: Cross multiply
    166.71x = 247.97 × 152.10
  4. Step 4: Simplify right side
    166.71x = 37,715.48
  5. Step 5: Solve for x
    x = 37,715.48/166.71
  6. Step 6: Final answer
    x = 226.23

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.