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Finding the Fourth Proportional to 283.93, 422.67 and 270.66

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Solution

The fourth proportional to 283.93, 422.67 and 270.66 is: 402.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    283.93 : 422.67 = 270.66 : x
  2. Step 2: Convert to fraction form
    283.93/422.67 = 270.66/x
  3. Step 3: Cross multiply
    283.93x = 422.67 × 270.66
  4. Step 4: Simplify right side
    283.93x = 114,399.86
  5. Step 5: Solve for x
    x = 114,399.86/283.93
  6. Step 6: Final answer
    x = 402.92

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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.