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Finding the Fourth Proportional to 74.40, 112.27 and 71.72

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Solution

The fourth proportional to 74.40, 112.27 and 71.72 is: 108.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    74.40 : 112.27 = 71.72 : x
  2. Step 2: Convert to fraction form
    74.40/112.27 = 71.72/x
  3. Step 3: Cross multiply
    74.40x = 112.27 × 71.72
  4. Step 4: Simplify right side
    74.40x = 8,052.00
  5. Step 5: Solve for x
    x = 8,052.00/74.40
  6. Step 6: Final answer
    x = 108.23

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.