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Finding the Fourth Proportional to 278.98, 415.68 and 266.56

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Solution

The fourth proportional to 278.98, 415.68 and 266.56 is: 397.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    278.98 : 415.68 = 266.56 : x
  2. Step 2: Convert to fraction form
    278.98/415.68 = 266.56/x
  3. Step 3: Cross multiply
    278.98x = 415.68 × 266.56
  4. Step 4: Simplify right side
    278.98x = 110,803.12
  5. Step 5: Solve for x
    x = 110,803.12/278.98
  6. Step 6: Final answer
    x = 397.18

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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.