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Finding the Fourth Proportional to 278.95, 418.42 and 96.35

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Solution

The fourth proportional to 278.95, 418.42 and 96.35 is: 144.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    278.95 : 418.42 = 96.35 : x
  2. Step 2: Convert to fraction form
    278.95/418.42 = 96.35/x
  3. Step 3: Cross multiply
    278.95x = 418.42 × 96.35
  4. Step 4: Simplify right side
    278.95x = 40,314.77
  5. Step 5: Solve for x
    x = 40,314.77/278.95
  6. Step 6: Final answer
    x = 144.52

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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.