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Finding the Fourth Proportional to 166.16, 247.78 and 139.28

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Solution

The fourth proportional to 166.16, 247.78 and 139.28 is: 207.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    166.16 : 247.78 = 139.28 : x
  2. Step 2: Convert to fraction form
    166.16/247.78 = 139.28/x
  3. Step 3: Cross multiply
    166.16x = 247.78 × 139.28
  4. Step 4: Simplify right side
    166.16x = 34,510.80
  5. Step 5: Solve for x
    x = 34,510.80/166.16
  6. Step 6: Final answer
    x = 207.70

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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.