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Finding the Fourth Proportional to 166.04, 247.61 and 141.39

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Solution

The fourth proportional to 166.04, 247.61 and 141.39 is: 210.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    166.04 : 247.61 = 141.39 : x
  2. Step 2: Convert to fraction form
    166.04/247.61 = 141.39/x
  3. Step 3: Cross multiply
    166.04x = 247.61 × 141.39
  4. Step 4: Simplify right side
    166.04x = 35,009.93
  5. Step 5: Solve for x
    x = 35,009.93/166.04
  6. Step 6: Final answer
    x = 210.85

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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.