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Finding the Fourth Proportional to 282.96, 423.88 and 209.80

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Solution

The fourth proportional to 282.96, 423.88 and 209.80 is: 314.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    282.96 : 423.88 = 209.80 : x
  2. Step 2: Convert to fraction form
    282.96/423.88 = 209.80/x
  3. Step 3: Cross multiply
    282.96x = 423.88 × 209.80
  4. Step 4: Simplify right side
    282.96x = 88,930.02
  5. Step 5: Solve for x
    x = 88,930.02/282.96
  6. Step 6: Final answer
    x = 314.28

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.