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Finding the Fourth Proportional to 864.20, 1,296.28 and 351.20

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Solution

The fourth proportional to 864.20, 1,296.28 and 351.20 is: 526.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    864.20 : 1,296.28 = 351.20 : x
  2. Step 2: Convert to fraction form
    864.20/1,296.28 = 351.20/x
  3. Step 3: Cross multiply
    864.20x = 1,296.28 × 351.20
  4. Step 4: Simplify right side
    864.20x = 455,253.54
  5. Step 5: Solve for x
    x = 455,253.54/864.20
  6. Step 6: Final answer
    x = 526.79

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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.