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Finding the Fourth Proportional to 279.78, 384.06 and 240.90

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Solution

The fourth proportional to 279.78, 384.06 and 240.90 is: 330.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    279.78 : 384.06 = 240.90 : x
  2. Step 2: Convert to fraction form
    279.78/384.06 = 240.90/x
  3. Step 3: Cross multiply
    279.78x = 384.06 × 240.90
  4. Step 4: Simplify right side
    279.78x = 92,520.05
  5. Step 5: Solve for x
    x = 92,520.05/279.78
  6. Step 6: Final answer
    x = 330.69

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.