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Finding the Fourth Proportional to 307.23, 422.72 and 265.65

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Solution

The fourth proportional to 307.23, 422.72 and 265.65 is: 365.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    307.23 : 422.72 = 265.65 : x
  2. Step 2: Convert to fraction form
    307.23/422.72 = 265.65/x
  3. Step 3: Cross multiply
    307.23x = 422.72 × 265.65
  4. Step 4: Simplify right side
    307.23x = 112,295.57
  5. Step 5: Solve for x
    x = 112,295.57/307.23
  6. Step 6: Final answer
    x = 365.51

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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.