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Finding the Fourth Proportional to 402.59, 601.39 and 299.32

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Solution

The fourth proportional to 402.59, 601.39 and 299.32 is: 447.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    402.59 : 601.39 = 299.32 : x
  2. Step 2: Convert to fraction form
    402.59/601.39 = 299.32/x
  3. Step 3: Cross multiply
    402.59x = 601.39 × 299.32
  4. Step 4: Simplify right side
    402.59x = 180,008.05
  5. Step 5: Solve for x
    x = 180,008.05/402.59
  6. Step 6: Final answer
    x = 447.13

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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.