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Finding the Fourth Proportional to 330.59, 498.08 and 299.34

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Solution

The fourth proportional to 330.59, 498.08 and 299.34 is: 450.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    330.59 : 498.08 = 299.34 : x
  2. Step 2: Convert to fraction form
    330.59/498.08 = 299.34/x
  3. Step 3: Cross multiply
    330.59x = 498.08 × 299.34
  4. Step 4: Simplify right side
    330.59x = 149,092.03
  5. Step 5: Solve for x
    x = 149,092.03/330.59
  6. Step 6: Final answer
    x = 450.99

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.