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Finding the Fourth Proportional to 330.78, 495.82 and 209.12

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Solution

The fourth proportional to 330.78, 495.82 and 209.12 is: 313.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    330.78 : 495.82 = 209.12 : x
  2. Step 2: Convert to fraction form
    330.78/495.82 = 209.12/x
  3. Step 3: Cross multiply
    330.78x = 495.82 × 209.12
  4. Step 4: Simplify right side
    330.78x = 103,683.66
  5. Step 5: Solve for x
    x = 103,683.66/330.78
  6. Step 6: Final answer
    x = 313.45

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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.