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Finding the Fourth Proportional to 306.92, 422.34 and 265.28

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Solution

The fourth proportional to 306.92, 422.34 and 265.28 is: 365.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    306.92 : 422.34 = 265.28 : x
  2. Step 2: Convert to fraction form
    306.92/422.34 = 265.28/x
  3. Step 3: Cross multiply
    306.92x = 422.34 × 265.28
  4. Step 4: Simplify right side
    306.92x = 112,038.36
  5. Step 5: Solve for x
    x = 112,038.36/306.92
  6. Step 6: Final answer
    x = 365.04

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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.