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Finding the Fourth Proportional to 224.73, 309.87 and 210.15

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Solution

The fourth proportional to 224.73, 309.87 and 210.15 is: 289.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    224.73 : 309.87 = 210.15 : x
  2. Step 2: Convert to fraction form
    224.73/309.87 = 210.15/x
  3. Step 3: Cross multiply
    224.73x = 309.87 × 210.15
  4. Step 4: Simplify right side
    224.73x = 65,119.18
  5. Step 5: Solve for x
    x = 65,119.18/224.73
  6. Step 6: Final answer
    x = 289.77

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.