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Finding the Fourth Proportional to 283.32, 422.34 and 267.93

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Solution

The fourth proportional to 283.32, 422.34 and 267.93 is: 399.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    283.32 : 422.34 = 267.93 : x
  2. Step 2: Convert to fraction form
    283.32/422.34 = 267.93/x
  3. Step 3: Cross multiply
    283.32x = 422.34 × 267.93
  4. Step 4: Simplify right side
    283.32x = 113,157.31
  5. Step 5: Solve for x
    x = 113,157.31/283.32
  6. Step 6: Final answer
    x = 399.40

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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.