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Finding the Fourth Proportional to 261.59, 391.91 and 216.23

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Solution

The fourth proportional to 261.59, 391.91 and 216.23 is: 323.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    261.59 : 391.91 = 216.23 : x
  2. Step 2: Convert to fraction form
    261.59/391.91 = 216.23/x
  3. Step 3: Cross multiply
    261.59x = 391.91 × 216.23
  4. Step 4: Simplify right side
    261.59x = 84,739.66
  5. Step 5: Solve for x
    x = 84,739.66/261.59
  6. Step 6: Final answer
    x = 323.95

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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.