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Finding the Fourth Proportional to 402.03, 603.25 and 294.71

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Solution

The fourth proportional to 402.03, 603.25 and 294.71 is: 442.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    402.03 : 603.25 = 294.71 : x
  2. Step 2: Convert to fraction form
    402.03/603.25 = 294.71/x
  3. Step 3: Cross multiply
    402.03x = 603.25 × 294.71
  4. Step 4: Simplify right side
    402.03x = 177,780.05
  5. Step 5: Solve for x
    x = 177,780.05/402.03
  6. Step 6: Final answer
    x = 442.21

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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.