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Finding the Fourth Proportional to 166.61, 230.11 and 153.86

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Solution

The fourth proportional to 166.61, 230.11 and 153.86 is: 212.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    166.61 : 230.11 = 153.86 : x
  2. Step 2: Convert to fraction form
    166.61/230.11 = 153.86/x
  3. Step 3: Cross multiply
    166.61x = 230.11 × 153.86
  4. Step 4: Simplify right side
    166.61x = 35,403.19
  5. Step 5: Solve for x
    x = 35,403.19/166.61
  6. Step 6: Final answer
    x = 212.49

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.