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Finding the Fourth Proportional to 379.71, 572.42 and 354.65

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Solution

The fourth proportional to 379.71, 572.42 and 354.65 is: 534.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    379.71 : 572.42 = 354.65 : x
  2. Step 2: Convert to fraction form
    379.71/572.42 = 354.65/x
  3. Step 3: Cross multiply
    379.71x = 572.42 × 354.65
  4. Step 4: Simplify right side
    379.71x = 203,006.78
  5. Step 5: Solve for x
    x = 203,006.78/379.71
  6. Step 6: Final answer
    x = 534.64

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.