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Finding the Fourth Proportional to 864.37, 1,296.57 and 215.09

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Solution

The fourth proportional to 864.37, 1,296.57 and 215.09 is: 322.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    864.37 : 1,296.57 = 215.09 : x
  2. Step 2: Convert to fraction form
    864.37/1,296.57 = 215.09/x
  3. Step 3: Cross multiply
    864.37x = 1,296.57 × 215.09
  4. Step 4: Simplify right side
    864.37x = 278,879.24
  5. Step 5: Solve for x
    x = 278,879.24/864.37
  6. Step 6: Final answer
    x = 322.64

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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.