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Finding the Fourth Proportional to 283.56, 422.98 and 278.86

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Solution

The fourth proportional to 283.56, 422.98 and 278.86 is: 415.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    283.56 : 422.98 = 278.86 : x
  2. Step 2: Convert to fraction form
    283.56/422.98 = 278.86/x
  3. Step 3: Cross multiply
    283.56x = 422.98 × 278.86
  4. Step 4: Simplify right side
    283.56x = 117,950.45
  5. Step 5: Solve for x
    x = 117,950.45/283.56
  6. Step 6: Final answer
    x = 415.97

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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.