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Finding the Fourth Proportional to 166.42, 229.72 and 114.94

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Solution

The fourth proportional to 166.42, 229.72 and 114.94 is: 158.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    166.42 : 229.72 = 114.94 : x
  2. Step 2: Convert to fraction form
    166.42/229.72 = 114.94/x
  3. Step 3: Cross multiply
    166.42x = 229.72 × 114.94
  4. Step 4: Simplify right side
    166.42x = 26,404.02
  5. Step 5: Solve for x
    x = 26,404.02/166.42
  6. Step 6: Final answer
    x = 158.66

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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.