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Finding the Fourth Proportional to 282.96, 422.01 and 278.10

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Solution

The fourth proportional to 282.96, 422.01 and 278.10 is: 414.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    282.96 : 422.01 = 278.10 : x
  2. Step 2: Convert to fraction form
    282.96/422.01 = 278.10/x
  3. Step 3: Cross multiply
    282.96x = 422.01 × 278.10
  4. Step 4: Simplify right side
    282.96x = 117,360.98
  5. Step 5: Solve for x
    x = 117,360.98/282.96
  6. Step 6: Final answer
    x = 414.76

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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.