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Finding the Fourth Proportional to 306.46, 422.51 and 253.81

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Solution

The fourth proportional to 306.46, 422.51 and 253.81 is: 349.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    306.46 : 422.51 = 253.81 : x
  2. Step 2: Convert to fraction form
    306.46/422.51 = 253.81/x
  3. Step 3: Cross multiply
    306.46x = 422.51 × 253.81
  4. Step 4: Simplify right side
    306.46x = 107,234.94
  5. Step 5: Solve for x
    x = 107,234.94/306.46
  6. Step 6: Final answer
    x = 349.92

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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.