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Finding the Fourth Proportional to 379.50, 524.12 and 232.49

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Solution

The fourth proportional to 379.50, 524.12 and 232.49 is: 321.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    379.50 : 524.12 = 232.49 : x
  2. Step 2: Convert to fraction form
    379.50/524.12 = 232.49/x
  3. Step 3: Cross multiply
    379.50x = 524.12 × 232.49
  4. Step 4: Simplify right side
    379.50x = 121,848.88
  5. Step 5: Solve for x
    x = 121,848.88/379.50
  6. Step 6: Final answer
    x = 321.08

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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.