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Finding the Fourth Proportional to 282.34, 420.08 and 276.88

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Solution

The fourth proportional to 282.34, 420.08 and 276.88 is: 411.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    282.34 : 420.08 = 276.88 : x
  2. Step 2: Convert to fraction form
    282.34/420.08 = 276.88/x
  3. Step 3: Cross multiply
    282.34x = 420.08 × 276.88
  4. Step 4: Simplify right side
    282.34x = 116,311.75
  5. Step 5: Solve for x
    x = 116,311.75/282.34
  6. Step 6: Final answer
    x = 411.96

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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.