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Finding the Fourth Proportional to 379.89, 565.79 and 358.83

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Solution

The fourth proportional to 379.89, 565.79 and 358.83 is: 534.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    379.89 : 565.79 = 358.83 : x
  2. Step 2: Convert to fraction form
    379.89/565.79 = 358.83/x
  3. Step 3: Cross multiply
    379.89x = 565.79 × 358.83
  4. Step 4: Simplify right side
    379.89x = 203,020.63
  5. Step 5: Solve for x
    x = 203,020.63/379.89
  6. Step 6: Final answer
    x = 534.42

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.