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Finding the Fourth Proportional to 71.49, 98.19 and 64.68

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Solution

The fourth proportional to 71.49, 98.19 and 64.68 is: 88.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    71.49 : 98.19 = 64.68 : x
  2. Step 2: Convert to fraction form
    71.49/98.19 = 64.68/x
  3. Step 3: Cross multiply
    71.49x = 98.19 × 64.68
  4. Step 4: Simplify right side
    71.49x = 6,350.93
  5. Step 5: Solve for x
    x = 6,350.93/71.49
  6. Step 6: Final answer
    x = 88.84

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.