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Finding the Fourth Proportional to 265.66, 398.11 and 188.78

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Solution

The fourth proportional to 265.66, 398.11 and 188.78 is: 282.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    265.66 : 398.11 = 188.78 : x
  2. Step 2: Convert to fraction form
    265.66/398.11 = 188.78/x
  3. Step 3: Cross multiply
    265.66x = 398.11 × 188.78
  4. Step 4: Simplify right side
    265.66x = 75,152.27
  5. Step 5: Solve for x
    x = 75,152.27/265.66
  6. Step 6: Final answer
    x = 282.89

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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.