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Finding the Fourth Proportional to 279.90, 384.72 and 246.96

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Solution

The fourth proportional to 279.90, 384.72 and 246.96 is: 339.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    279.90 : 384.72 = 246.96 : x
  2. Step 2: Convert to fraction form
    279.90/384.72 = 246.96/x
  3. Step 3: Cross multiply
    279.90x = 384.72 × 246.96
  4. Step 4: Simplify right side
    279.90x = 95,010.45
  5. Step 5: Solve for x
    x = 95,010.45/279.90
  6. Step 6: Final answer
    x = 339.44

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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.