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Finding the Fourth Proportional to 329.86, 494.10 and 314.83

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Solution

The fourth proportional to 329.86, 494.10 and 314.83 is: 471.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    329.86 : 494.10 = 314.83 : x
  2. Step 2: Convert to fraction form
    329.86/494.10 = 314.83/x
  3. Step 3: Cross multiply
    329.86x = 494.10 × 314.83
  4. Step 4: Simplify right side
    329.86x = 155,557.50
  5. Step 5: Solve for x
    x = 155,557.50/329.86
  6. Step 6: Final answer
    x = 471.59

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.