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Finding the Fourth Proportional to 69.26, 103.76 and 52.98

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Solution

The fourth proportional to 69.26, 103.76 and 52.98 is: 79.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    69.26 : 103.76 = 52.98 : x
  2. Step 2: Convert to fraction form
    69.26/103.76 = 52.98/x
  3. Step 3: Cross multiply
    69.26x = 103.76 × 52.98
  4. Step 4: Simplify right side
    69.26x = 5,497.20
  5. Step 5: Solve for x
    x = 5,497.20/69.26
  6. Step 6: Final answer
    x = 79.37

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.