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Finding the Fourth Proportional to 379.34, 565.65 and 328.31

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Solution

The fourth proportional to 379.34, 565.65 and 328.31 is: 489.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    379.34 : 565.65 = 328.31 : x
  2. Step 2: Convert to fraction form
    379.34/565.65 = 328.31/x
  3. Step 3: Cross multiply
    379.34x = 565.65 × 328.31
  4. Step 4: Simplify right side
    379.34x = 185,705.72
  5. Step 5: Solve for x
    x = 185,705.72/379.34
  6. Step 6: Final answer
    x = 489.56

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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.