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Finding the Fourth Proportional to 115.65, 173.23 and 77.15

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Solution

The fourth proportional to 115.65, 173.23 and 77.15 is: 115.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    115.65 : 173.23 = 77.15 : x
  2. Step 2: Convert to fraction form
    115.65/173.23 = 77.15/x
  3. Step 3: Cross multiply
    115.65x = 173.23 × 77.15
  4. Step 4: Simplify right side
    115.65x = 13,364.69
  5. Step 5: Solve for x
    x = 13,364.69/115.65
  6. Step 6: Final answer
    x = 115.56

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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.