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Finding the Fourth Proportional to 330.57, 456.30 and 275.94

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Solution

The fourth proportional to 330.57, 456.30 and 275.94 is: 380.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    330.57 : 456.30 = 275.94 : x
  2. Step 2: Convert to fraction form
    330.57/456.30 = 275.94/x
  3. Step 3: Cross multiply
    330.57x = 456.30 × 275.94
  4. Step 4: Simplify right side
    330.57x = 125,911.42
  5. Step 5: Solve for x
    x = 125,911.42/330.57
  6. Step 6: Final answer
    x = 380.89

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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.