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Finding the Fourth Proportional to 115.65, 159.48 and 74.21

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Solution

The fourth proportional to 115.65, 159.48 and 74.21 is: 102.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    115.65 : 159.48 = 74.21 : x
  2. Step 2: Convert to fraction form
    115.65/159.48 = 74.21/x
  3. Step 3: Cross multiply
    115.65x = 159.48 × 74.21
  4. Step 4: Simplify right side
    115.65x = 11,834.21
  5. Step 5: Solve for x
    x = 11,834.21/115.65
  6. Step 6: Final answer
    x = 102.33

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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.