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Finding the Fourth Proportional to 70.98, 97.90 and 57.18

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Solution

The fourth proportional to 70.98, 97.90 and 57.18 is: 78.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    70.98 : 97.90 = 57.18 : x
  2. Step 2: Convert to fraction form
    70.98/97.90 = 57.18/x
  3. Step 3: Cross multiply
    70.98x = 97.90 × 57.18
  4. Step 4: Simplify right side
    70.98x = 5,597.92
  5. Step 5: Solve for x
    x = 5,597.92/70.98
  6. Step 6: Final answer
    x = 78.87

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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.