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Finding the Fourth Proportional to 330.61, 496.71 and 215.11

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Solution

The fourth proportional to 330.61, 496.71 and 215.11 is: 323.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    330.61 : 496.71 = 215.11 : x
  2. Step 2: Convert to fraction form
    330.61/496.71 = 215.11/x
  3. Step 3: Cross multiply
    330.61x = 496.71 × 215.11
  4. Step 4: Simplify right side
    330.61x = 106,847.29
  5. Step 5: Solve for x
    x = 106,847.29/330.61
  6. Step 6: Final answer
    x = 323.18

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.