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Finding the Fourth Proportional to 71.44, 98.50 and 67.60

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Solution

The fourth proportional to 71.44, 98.50 and 67.60 is: 93.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    71.44 : 98.50 = 67.60 : x
  2. Step 2: Convert to fraction form
    71.44/98.50 = 67.60/x
  3. Step 3: Cross multiply
    71.44x = 98.50 × 67.60
  4. Step 4: Simplify right side
    71.44x = 6,658.60
  5. Step 5: Solve for x
    x = 6,658.60/71.44
  6. Step 6: Final answer
    x = 93.21

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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.