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Finding the Fourth Proportional to 306.43, 422.94 and 188.48

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Solution

The fourth proportional to 306.43, 422.94 and 188.48 is: 260.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    306.43 : 422.94 = 188.48 : x
  2. Step 2: Convert to fraction form
    306.43/422.94 = 188.48/x
  3. Step 3: Cross multiply
    306.43x = 422.94 × 188.48
  4. Step 4: Simplify right side
    306.43x = 79,715.15
  5. Step 5: Solve for x
    x = 79,715.15/306.43
  6. Step 6: Final answer
    x = 260.14

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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.