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Finding the Fourth Proportional to 330.55, 495.80 and 138.17

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Solution

The fourth proportional to 330.55, 495.80 and 138.17 is: 207.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    330.55 : 495.80 = 138.17 : x
  2. Step 2: Convert to fraction form
    330.55/495.80 = 138.17/x
  3. Step 3: Cross multiply
    330.55x = 495.80 × 138.17
  4. Step 4: Simplify right side
    330.55x = 68,506.53
  5. Step 5: Solve for x
    x = 68,506.53/330.55
  6. Step 6: Final answer
    x = 207.25

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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.