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Finding the Fourth Proportional to 306.43, 422.84 and 175.41

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Solution

The fourth proportional to 306.43, 422.84 and 175.41 is: 242.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    306.43 : 422.84 = 175.41 : x
  2. Step 2: Convert to fraction form
    306.43/422.84 = 175.41/x
  3. Step 3: Cross multiply
    306.43x = 422.84 × 175.41
  4. Step 4: Simplify right side
    306.43x = 74,170.80
  5. Step 5: Solve for x
    x = 74,170.80/306.43
  6. Step 6: Final answer
    x = 242.05

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.