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Finding the Fourth Proportional to 330.78, 495.45 and 208.74

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Solution

The fourth proportional to 330.78, 495.45 and 208.74 is: 312.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    330.78 : 495.45 = 208.74 : x
  2. Step 2: Convert to fraction form
    330.78/495.45 = 208.74/x
  3. Step 3: Cross multiply
    330.78x = 495.45 × 208.74
  4. Step 4: Simplify right side
    330.78x = 103,420.23
  5. Step 5: Solve for x
    x = 103,420.23/330.78
  6. Step 6: Final answer
    x = 312.66

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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.