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Finding the Fourth Proportional to 278.56, 415.84 and 242.11

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Solution

The fourth proportional to 278.56, 415.84 and 242.11 is: 361.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    278.56 : 415.84 = 242.11 : x
  2. Step 2: Convert to fraction form
    278.56/415.84 = 242.11/x
  3. Step 3: Cross multiply
    278.56x = 415.84 × 242.11
  4. Step 4: Simplify right side
    278.56x = 100,679.02
  5. Step 5: Solve for x
    x = 100,679.02/278.56
  6. Step 6: Final answer
    x = 361.43

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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.