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Finding the Fourth Proportional to 306.37, 422.83 and 175.38

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Solution

The fourth proportional to 306.37, 422.83 and 175.38 is: 242.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    306.37 : 422.83 = 175.38 : x
  2. Step 2: Convert to fraction form
    306.37/422.83 = 175.38/x
  3. Step 3: Cross multiply
    306.37x = 422.83 × 175.38
  4. Step 4: Simplify right side
    306.37x = 74,155.93
  5. Step 5: Solve for x
    x = 74,155.93/306.37
  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.