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Finding the Fourth Proportional to 330.50, 494.96 and 193.14

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Solution

The fourth proportional to 330.50, 494.96 and 193.14 is: 289.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    330.50 : 494.96 = 193.14 : x
  2. Step 2: Convert to fraction form
    330.50/494.96 = 193.14/x
  3. Step 3: Cross multiply
    330.50x = 494.96 × 193.14
  4. Step 4: Simplify right side
    330.50x = 95,595.61
  5. Step 5: Solve for x
    x = 95,595.61/330.50
  6. Step 6: Final answer
    x = 289.24

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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.