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Finding the Fourth Proportional to 306.37, 422.63 and 253.61

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Solution

The fourth proportional to 306.37, 422.63 and 253.61 is: 349.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    306.37 : 422.63 = 253.61 : x
  2. Step 2: Convert to fraction form
    306.37/422.63 = 253.61/x
  3. Step 3: Cross multiply
    306.37x = 422.63 × 253.61
  4. Step 4: Simplify right side
    306.37x = 107,184.01
  5. Step 5: Solve for x
    x = 107,184.01/306.37
  6. Step 6: Final answer
    x = 349.85

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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.