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Finding the Fourth Proportional to 329.34, 493.87 and 146.66

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Solution

The fourth proportional to 329.34, 493.87 and 146.66 is: 219.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    329.34 : 493.87 = 146.66 : x
  2. Step 2: Convert to fraction form
    329.34/493.87 = 146.66/x
  3. Step 3: Cross multiply
    329.34x = 493.87 × 146.66
  4. Step 4: Simplify right side
    329.34x = 72,430.97
  5. Step 5: Solve for x
    x = 72,430.97/329.34
  6. Step 6: Final answer
    x = 219.93

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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.