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Finding the Fourth Proportional to 306.40, 422.81 and 175.39

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Solution

The fourth proportional to 306.40, 422.81 and 175.39 is: 242.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    306.40 : 422.81 = 175.39 : x
  2. Step 2: Convert to fraction form
    306.40/422.81 = 175.39/x
  3. Step 3: Cross multiply
    306.40x = 422.81 × 175.39
  4. Step 4: Simplify right side
    306.40x = 74,154.97
  5. Step 5: Solve for x
    x = 74,154.97/306.40
  6. Step 6: Final answer
    x = 242.02

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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.