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Finding the Fourth Proportional to 282.11, 420.67 and 262.63

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Solution

The fourth proportional to 282.11, 420.67 and 262.63 is: 391.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    282.11 : 420.67 = 262.63 : x
  2. Step 2: Convert to fraction form
    282.11/420.67 = 262.63/x
  3. Step 3: Cross multiply
    282.11x = 420.67 × 262.63
  4. Step 4: Simplify right side
    282.11x = 110,480.56
  5. Step 5: Solve for x
    x = 110,480.56/282.11
  6. Step 6: Final answer
    x = 391.62

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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.