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Finding the Fourth Proportional to 69.98, 95.30 and 69.57

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Solution

The fourth proportional to 69.98, 95.30 and 69.57 is: 94.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    69.98 : 95.30 = 69.57 : x
  2. Step 2: Convert to fraction form
    69.98/95.30 = 69.57/x
  3. Step 3: Cross multiply
    69.98x = 95.30 × 69.57
  4. Step 4: Simplify right side
    69.98x = 6,629.67
  5. Step 5: Solve for x
    x = 6,629.67/69.98
  6. Step 6: Final answer
    x = 94.74

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.