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Finding the Fourth Proportional to 166.15, 247.98 and 155.21

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Solution

The fourth proportional to 166.15, 247.98 and 155.21 is: 231.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    166.15 : 247.98 = 155.21 : x
  2. Step 2: Convert to fraction form
    166.15/247.98 = 155.21/x
  3. Step 3: Cross multiply
    166.15x = 247.98 × 155.21
  4. Step 4: Simplify right side
    166.15x = 38,490.06
  5. Step 5: Solve for x
    x = 38,490.06/166.15
  6. Step 6: Final answer
    x = 231.66

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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.