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Finding the Fourth Proportional to 278.65, 415.70 and 271.11

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Solution

The fourth proportional to 278.65, 415.70 and 271.11 is: 404.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    278.65 : 415.70 = 271.11 : x
  2. Step 2: Convert to fraction form
    278.65/415.70 = 271.11/x
  3. Step 3: Cross multiply
    278.65x = 415.70 × 271.11
  4. Step 4: Simplify right side
    278.65x = 112,700.43
  5. Step 5: Solve for x
    x = 112,700.43/278.65
  6. Step 6: Final answer
    x = 404.45

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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.