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Finding the Fourth Proportional to 330.95, 456.50 and 212.80

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Solution

The fourth proportional to 330.95, 456.50 and 212.80 is: 293.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    330.95 : 456.50 = 212.80 : x
  2. Step 2: Convert to fraction form
    330.95/456.50 = 212.80/x
  3. Step 3: Cross multiply
    330.95x = 456.50 × 212.80
  4. Step 4: Simplify right side
    330.95x = 97,143.20
  5. Step 5: Solve for x
    x = 97,143.20/330.95
  6. Step 6: Final answer
    x = 293.53

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.