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Finding the Fourth Proportional to 265.80, 398.76 and 111.65

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Solution

The fourth proportional to 265.80, 398.76 and 111.65 is: 167.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    265.80 : 398.76 = 111.65 : x
  2. Step 2: Convert to fraction form
    265.80/398.76 = 111.65/x
  3. Step 3: Cross multiply
    265.80x = 398.76 × 111.65
  4. Step 4: Simplify right side
    265.80x = 44,519.56
  5. Step 5: Solve for x
    x = 44,519.56/265.80
  6. Step 6: Final answer
    x = 167.49

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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.