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Finding the Fourth Proportional to 329.13, 493.95 and 155.88

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Solution

The fourth proportional to 329.13, 493.95 and 155.88 is: 233.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    329.13 : 493.95 = 155.88 : x
  2. Step 2: Convert to fraction form
    329.13/493.95 = 155.88/x
  3. Step 3: Cross multiply
    329.13x = 493.95 × 155.88
  4. Step 4: Simplify right side
    329.13x = 76,996.93
  5. Step 5: Solve for x
    x = 76,996.93/329.13
  6. Step 6: Final answer
    x = 233.94

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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.