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Finding the Fourth Proportional to 224.82, 309.63 and 210.18

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Solution

The fourth proportional to 224.82, 309.63 and 210.18 is: 289.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    224.82 : 309.63 = 210.18 : x
  2. Step 2: Convert to fraction form
    224.82/309.63 = 210.18/x
  3. Step 3: Cross multiply
    224.82x = 309.63 × 210.18
  4. Step 4: Simplify right side
    224.82x = 65,078.03
  5. Step 5: Solve for x
    x = 65,078.03/224.82
  6. Step 6: Final answer
    x = 289.47

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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.