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Finding the Fourth Proportional to 307.26, 423 and 265.68

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Solution

The fourth proportional to 307.26, 423 and 265.68 is: 365.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    307.26 : 423 = 265.68 : x
  2. Step 2: Convert to fraction form
    307.26/423 = 265.68/x
  3. Step 3: Cross multiply
    307.26x = 423 × 265.68
  4. Step 4: Simplify right side
    307.26x = 112,382.64
  5. Step 5: Solve for x
    x = 112,382.64/307.26
  6. Step 6: Final answer
    x = 365.76

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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.