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Finding the Fourth Proportional to 115.65, 173.52 and 69.98

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Solution

The fourth proportional to 115.65, 173.52 and 69.98 is: 104.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    115.65 : 173.52 = 69.98 : x
  2. Step 2: Convert to fraction form
    115.65/173.52 = 69.98/x
  3. Step 3: Cross multiply
    115.65x = 173.52 × 69.98
  4. Step 4: Simplify right side
    115.65x = 12,142.06
  5. Step 5: Solve for x
    x = 12,142.06/115.65
  6. Step 6: Final answer
    x = 104.99

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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.