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Finding the Fourth Proportional to 278.76, 418.40 and 141.96

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Solution

The fourth proportional to 278.76, 418.40 and 141.96 is: 213.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    278.76 : 418.40 = 141.96 : x
  2. Step 2: Convert to fraction form
    278.76/418.40 = 141.96/x
  3. Step 3: Cross multiply
    278.76x = 418.40 × 141.96
  4. Step 4: Simplify right side
    278.76x = 59,395.35
  5. Step 5: Solve for x
    x = 59,395.35/278.76
  6. Step 6: Final answer
    x = 213.07

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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.