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Finding the Fourth Proportional to 801.20, 1,201.88 and 288.08

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Solution

The fourth proportional to 801.20, 1,201.88 and 288.08 is: 432.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    801.20 : 1,201.88 = 288.08 : x
  2. Step 2: Convert to fraction form
    801.20/1,201.88 = 288.08/x
  3. Step 3: Cross multiply
    801.20x = 1,201.88 × 288.08
  4. Step 4: Simplify right side
    801.20x = 346,237.59
  5. Step 5: Solve for x
    x = 346,237.59/801.20
  6. Step 6: Final answer
    x = 432.15

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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.