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Finding the Fourth Proportional to 330.96, 493.80 and 296.16

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Solution

The fourth proportional to 330.96, 493.80 and 296.16 is: 441.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    330.96 : 493.80 = 296.16 : x
  2. Step 2: Convert to fraction form
    330.96/493.80 = 296.16/x
  3. Step 3: Cross multiply
    330.96x = 493.80 × 296.16
  4. Step 4: Simplify right side
    330.96x = 146,243.81
  5. Step 5: Solve for x
    x = 146,243.81/330.96
  6. Step 6: Final answer
    x = 441.88

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.