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Finding the Fourth Proportional to 801.20, 1,201.81 and 253.39

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Solution

The fourth proportional to 801.20, 1,201.81 and 253.39 is: 380.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    801.20 : 1,201.81 = 253.39 : x
  2. Step 2: Convert to fraction form
    801.20/1,201.81 = 253.39/x
  3. Step 3: Cross multiply
    801.20x = 1,201.81 × 253.39
  4. Step 4: Simplify right side
    801.20x = 304,523.06
  5. Step 5: Solve for x
    x = 304,523.06/801.20
  6. Step 6: Final answer
    x = 380.08

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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.