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Finding the Fourth Proportional to 282.42, 421.31 and 262.78

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Solution

The fourth proportional to 282.42, 421.31 and 262.78 is: 392.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    282.42 : 421.31 = 262.78 : x
  2. Step 2: Convert to fraction form
    282.42/421.31 = 262.78/x
  3. Step 3: Cross multiply
    282.42x = 421.31 × 262.78
  4. Step 4: Simplify right side
    282.42x = 110,711.84
  5. Step 5: Solve for x
    x = 110,711.84/282.42
  6. Step 6: Final answer
    x = 392.01

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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.