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Finding the Fourth Proportional to 282.29, 421.61 and 224.57

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Solution

The fourth proportional to 282.29, 421.61 and 224.57 is: 335.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    282.29 : 421.61 = 224.57 : x
  2. Step 2: Convert to fraction form
    282.29/421.61 = 224.57/x
  3. Step 3: Cross multiply
    282.29x = 421.61 × 224.57
  4. Step 4: Simplify right side
    282.29x = 94,680.89
  5. Step 5: Solve for x
    x = 94,680.89/282.29
  6. Step 6: Final answer
    x = 335.41

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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.