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Finding the Fourth Proportional to 174.67, 261.79 and 102.58

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Solution

The fourth proportional to 174.67, 261.79 and 102.58 is: 153.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    174.67 : 261.79 = 102.58 : x
  2. Step 2: Convert to fraction form
    174.67/261.79 = 102.58/x
  3. Step 3: Cross multiply
    174.67x = 261.79 × 102.58
  4. Step 4: Simplify right side
    174.67x = 26,854.42
  5. Step 5: Solve for x
    x = 26,854.42/174.67
  6. Step 6: Final answer
    x = 153.74

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.