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Finding the Fourth Proportional to 174.51, 261.72 and 71.78

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Solution

The fourth proportional to 174.51, 261.72 and 71.78 is: 107.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    174.51 : 261.72 = 71.78 : x
  2. Step 2: Convert to fraction form
    174.51/261.72 = 71.78/x
  3. Step 3: Cross multiply
    174.51x = 261.72 × 71.78
  4. Step 4: Simplify right side
    174.51x = 18,784.95
  5. Step 5: Solve for x
    x = 18,784.95/174.51
  6. Step 6: Final answer
    x = 107.64

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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.