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Finding the Fourth Proportional to 186.46, 278.54 and 143.11

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Solution

The fourth proportional to 186.46, 278.54 and 143.11 is: 213.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    186.46 : 278.54 = 143.11 : x
  2. Step 2: Convert to fraction form
    186.46/278.54 = 143.11/x
  3. Step 3: Cross multiply
    186.46x = 278.54 × 143.11
  4. Step 4: Simplify right side
    186.46x = 39,861.86
  5. Step 5: Solve for x
    x = 39,861.86/186.46
  6. Step 6: Final answer
    x = 213.78

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.