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Finding the Fourth Proportional to 71.09, 98.08 and 56.49

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Solution

The fourth proportional to 71.09, 98.08 and 56.49 is: 77.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    71.09 : 98.08 = 56.49 : x
  2. Step 2: Convert to fraction form
    71.09/98.08 = 56.49/x
  3. Step 3: Cross multiply
    71.09x = 98.08 × 56.49
  4. Step 4: Simplify right side
    71.09x = 5,540.54
  5. Step 5: Solve for x
    x = 5,540.54/71.09
  6. Step 6: Final answer
    x = 77.94

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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.