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Finding the Fourth Proportional to 412.13, 617.87 and 216.87

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Solution

The fourth proportional to 412.13, 617.87 and 216.87 is: 325.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    412.13 : 617.87 = 216.87 : x
  2. Step 2: Convert to fraction form
    412.13/617.87 = 216.87/x
  3. Step 3: Cross multiply
    412.13x = 617.87 × 216.87
  4. Step 4: Simplify right side
    412.13x = 133,996.38
  5. Step 5: Solve for x
    x = 133,996.38/412.13
  6. Step 6: Final answer
    x = 325.14

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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.