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Finding the Fourth Proportional to 581.22, 872.17 and 216.00

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Solution

The fourth proportional to 581.22, 872.17 and 216.00 is: 324.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    581.22 : 872.17 = 216.00 : x
  2. Step 2: Convert to fraction form
    581.22/872.17 = 216.00/x
  3. Step 3: Cross multiply
    581.22x = 872.17 × 216.00
  4. Step 4: Simplify right side
    581.22x = 188,384.91
  5. Step 5: Solve for x
    x = 188,384.91/581.22
  6. Step 6: Final answer
    x = 324.12

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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.