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Finding the Fourth Proportional to 330.36, 496.08 and 284.19

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Solution

The fourth proportional to 330.36, 496.08 and 284.19 is: 426.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    330.36 : 496.08 = 284.19 : x
  2. Step 2: Convert to fraction form
    330.36/496.08 = 284.19/x
  3. Step 3: Cross multiply
    330.36x = 496.08 × 284.19
  4. Step 4: Simplify right side
    330.36x = 140,980.98
  5. Step 5: Solve for x
    x = 140,980.98/330.36
  6. Step 6: Final answer
    x = 426.75

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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.