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Finding the Fourth Proportional to 71.27, 98.76 and 70.40

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Solution

The fourth proportional to 71.27, 98.76 and 70.40 is: 97.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    71.27 : 98.76 = 70.40 : x
  2. Step 2: Convert to fraction form
    71.27/98.76 = 70.40/x
  3. Step 3: Cross multiply
    71.27x = 98.76 × 70.40
  4. Step 4: Simplify right side
    71.27x = 6,952.63
  5. Step 5: Solve for x
    x = 6,952.63/71.27
  6. Step 6: Final answer
    x = 97.56

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.