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Finding the Fourth Proportional to 330, 493.78 and 207.70

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Solution

The fourth proportional to 330, 493.78 and 207.70 is: 310.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    330 : 493.78 = 207.70 : x
  2. Step 2: Convert to fraction form
    330/493.78 = 207.70/x
  3. Step 3: Cross multiply
    330x = 493.78 × 207.70
  4. Step 4: Simplify right side
    330x = 102,558.11
  5. Step 5: Solve for x
    x = 102,558.11/330
  6. Step 6: Final answer
    x = 310.78

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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.