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Finding the Fourth Proportional to 223.87, 310.21 and 210.17

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Solution

The fourth proportional to 223.87, 310.21 and 210.17 is: 291.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    223.87 : 310.21 = 210.17 : x
  2. Step 2: Convert to fraction form
    223.87/310.21 = 210.17/x
  3. Step 3: Cross multiply
    223.87x = 310.21 × 210.17
  4. Step 4: Simplify right side
    223.87x = 65,195.55
  5. Step 5: Solve for x
    x = 65,195.55/223.87
  6. Step 6: Final answer
    x = 291.22

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.