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Finding the Fourth Proportional to 330.40, 494.67 and 253.03

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Solution

The fourth proportional to 330.40, 494.67 and 253.03 is: 378.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    330.40 : 494.67 = 253.03 : x
  2. Step 2: Convert to fraction form
    330.40/494.67 = 253.03/x
  3. Step 3: Cross multiply
    330.40x = 494.67 × 253.03
  4. Step 4: Simplify right side
    330.40x = 125,166.35
  5. Step 5: Solve for x
    x = 125,166.35/330.40
  6. Step 6: Final answer
    x = 378.83

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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.