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Finding the Fourth Proportional to 379.89, 524.10 and 232.47

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Solution

The fourth proportional to 379.89, 524.10 and 232.47 is: 320.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    379.89 : 524.10 = 232.47 : x
  2. Step 2: Convert to fraction form
    379.89/524.10 = 232.47/x
  3. Step 3: Cross multiply
    379.89x = 524.10 × 232.47
  4. Step 4: Simplify right side
    379.89x = 121,837.53
  5. Step 5: Solve for x
    x = 121,837.53/379.89
  6. Step 6: Final answer
    x = 320.72

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