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Finding the Fourth Proportional to 306.28, 461.11 and 238.18

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Solution

The fourth proportional to 306.28, 461.11 and 238.18 is: 358.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    306.28 : 461.11 = 238.18 : x
  2. Step 2: Convert to fraction form
    306.28/461.11 = 238.18/x
  3. Step 3: Cross multiply
    306.28x = 461.11 × 238.18
  4. Step 4: Simplify right side
    306.28x = 109,827.18
  5. Step 5: Solve for x
    x = 109,827.18/306.28
  6. Step 6: Final answer
    x = 358.58

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.