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Finding the Fourth Proportional to 278.80, 418.10 and 93.66

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Solution

The fourth proportional to 278.80, 418.10 and 93.66 is: 140.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    278.80 : 418.10 = 93.66 : x
  2. Step 2: Convert to fraction form
    278.80/418.10 = 93.66/x
  3. Step 3: Cross multiply
    278.80x = 418.10 × 93.66
  4. Step 4: Simplify right side
    278.80x = 39,159.25
  5. Step 5: Solve for x
    x = 39,159.25/278.80
  6. Step 6: Final answer
    x = 140.46

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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.