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Finding the Fourth Proportional to 278.10, 383.44 and 240.69

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Solution

The fourth proportional to 278.10, 383.44 and 240.69 is: 331.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    278.10 : 383.44 = 240.69 : x
  2. Step 2: Convert to fraction form
    278.10/383.44 = 240.69/x
  3. Step 3: Cross multiply
    278.10x = 383.44 × 240.69
  4. Step 4: Simplify right side
    278.10x = 92,290.17
  5. Step 5: Solve for x
    x = 92,290.17/278.10
  6. Step 6: Final answer
    x = 331.86

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.