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Finding the Fourth Proportional to 851.88, 1,278.31 and 358.25

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Solution

The fourth proportional to 851.88, 1,278.31 and 358.25 is: 537.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    851.88 : 1,278.31 = 358.25 : x
  2. Step 2: Convert to fraction form
    851.88/1,278.31 = 358.25/x
  3. Step 3: Cross multiply
    851.88x = 1,278.31 × 358.25
  4. Step 4: Simplify right side
    851.88x = 457,951.01
  5. Step 5: Solve for x
    x = 457,951.01/851.88
  6. Step 6: Final answer
    x = 537.58

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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.