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Finding the Fourth Proportional to 379.55, 523.71 and 291.15

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Solution

The fourth proportional to 379.55, 523.71 and 291.15 is: 401.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    379.55 : 523.71 = 291.15 : x
  2. Step 2: Convert to fraction form
    379.55/523.71 = 291.15/x
  3. Step 3: Cross multiply
    379.55x = 523.71 × 291.15
  4. Step 4: Simplify right side
    379.55x = 152,478.17
  5. Step 5: Solve for x
    x = 152,478.17/379.55
  6. Step 6: Final answer
    x = 401.73

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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.