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Finding the Fourth Proportional to 330.72, 456.39 and 199.74

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Solution

The fourth proportional to 330.72, 456.39 and 199.74 is: 275.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    330.72 : 456.39 = 199.74 : x
  2. Step 2: Convert to fraction form
    330.72/456.39 = 199.74/x
  3. Step 3: Cross multiply
    330.72x = 456.39 × 199.74
  4. Step 4: Simplify right side
    330.72x = 91,159.34
  5. Step 5: Solve for x
    x = 91,159.34/330.72
  6. Step 6: Final answer
    x = 275.64

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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.