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Finding the Fourth Proportional to 282.76, 420.65 and 269.80

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Solution

The fourth proportional to 282.76, 420.65 and 269.80 is: 401.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    282.76 : 420.65 = 269.80 : x
  2. Step 2: Convert to fraction form
    282.76/420.65 = 269.80/x
  3. Step 3: Cross multiply
    282.76x = 420.65 × 269.80
  4. Step 4: Simplify right side
    282.76x = 113,491.37
  5. Step 5: Solve for x
    x = 113,491.37/282.76
  6. Step 6: Final answer
    x = 401.37

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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.