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Finding the Fourth Proportional to 330.72, 454.35 and 296.19

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Solution

The fourth proportional to 330.72, 454.35 and 296.19 is: 406.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    330.72 : 454.35 = 296.19 : x
  2. Step 2: Convert to fraction form
    330.72/454.35 = 296.19/x
  3. Step 3: Cross multiply
    330.72x = 454.35 × 296.19
  4. Step 4: Simplify right side
    330.72x = 134,573.93
  5. Step 5: Solve for x
    x = 134,573.93/330.72
  6. Step 6: Final answer
    x = 406.91

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.