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Finding the Fourth Proportional to 282.56, 420.96 and 266

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Solution

The fourth proportional to 282.56, 420.96 and 266 is: 396.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    282.56 : 420.96 = 266 : x
  2. Step 2: Convert to fraction form
    282.56/420.96 = 266/x
  3. Step 3: Cross multiply
    282.56x = 420.96 × 266
  4. Step 4: Simplify right side
    282.56x = 111,975.36
  5. Step 5: Solve for x
    x = 111,975.36/282.56
  6. Step 6: Final answer
    x = 396.29

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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.