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Finding the Fourth Proportional to 402.80, 603.99 and 159.19

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Solution

The fourth proportional to 402.80, 603.99 and 159.19 is: 238.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    402.80 : 603.99 = 159.19 : x
  2. Step 2: Convert to fraction form
    402.80/603.99 = 159.19/x
  3. Step 3: Cross multiply
    402.80x = 603.99 × 159.19
  4. Step 4: Simplify right side
    402.80x = 96,147.66
  5. Step 5: Solve for x
    x = 96,147.66/402.80
  6. Step 6: Final answer
    x = 238.70

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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.