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Finding the Fourth Proportional to 282.56, 421.68 and 275.27

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Solution

The fourth proportional to 282.56, 421.68 and 275.27 is: 410.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    282.56 : 421.68 = 275.27 : x
  2. Step 2: Convert to fraction form
    282.56/421.68 = 275.27/x
  3. Step 3: Cross multiply
    282.56x = 421.68 × 275.27
  4. Step 4: Simplify right side
    282.56x = 116,073.75
  5. Step 5: Solve for x
    x = 116,073.75/282.56
  6. Step 6: Final answer
    x = 410.80

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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.