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Finding the Fourth Proportional to 306.15, 422.54 and 175.15

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Solution

The fourth proportional to 306.15, 422.54 and 175.15 is: 241.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    306.15 : 422.54 = 175.15 : x
  2. Step 2: Convert to fraction form
    306.15/422.54 = 175.15/x
  3. Step 3: Cross multiply
    306.15x = 422.54 × 175.15
  4. Step 4: Simplify right side
    306.15x = 74,007.88
  5. Step 5: Solve for x
    x = 74,007.88/306.15
  6. Step 6: Final answer
    x = 241.74

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