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Finding the Fourth Proportional to 379.60, 524 and 239.76

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Solution

The fourth proportional to 379.60, 524 and 239.76 is: 330.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    379.60 : 524 = 239.76 : x
  2. Step 2: Convert to fraction form
    379.60/524 = 239.76/x
  3. Step 3: Cross multiply
    379.60x = 524 × 239.76
  4. Step 4: Simplify right side
    379.60x = 125,634.24
  5. Step 5: Solve for x
    x = 125,634.24/379.60
  6. Step 6: Final answer
    x = 330.96

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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.