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Finding the Fourth Proportional to 224.30, 334.20 and 210.33

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Solution

The fourth proportional to 224.30, 334.20 and 210.33 is: 313.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    224.30 : 334.20 = 210.33 : x
  2. Step 2: Convert to fraction form
    224.30/334.20 = 210.33/x
  3. Step 3: Cross multiply
    224.30x = 334.20 × 210.33
  4. Step 4: Simplify right side
    224.30x = 70,292.29
  5. Step 5: Solve for x
    x = 70,292.29/224.30
  6. Step 6: Final answer
    x = 313.39

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.