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Finding the Fourth Proportional to 330.96, 494.06 and 287.76

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Solution

The fourth proportional to 330.96, 494.06 and 287.76 is: 429.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    330.96 : 494.06 = 287.76 : x
  2. Step 2: Convert to fraction form
    330.96/494.06 = 287.76/x
  3. Step 3: Cross multiply
    330.96x = 494.06 × 287.76
  4. Step 4: Simplify right side
    330.96x = 142,170.71
  5. Step 5: Solve for x
    x = 142,170.71/330.96
  6. Step 6: Final answer
    x = 429.57

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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.