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Finding the Fourth Proportional to 302.26, 451.20 and 265.81

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Solution

The fourth proportional to 302.26, 451.20 and 265.81 is: 396.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    302.26 : 451.20 = 265.81 : x
  2. Step 2: Convert to fraction form
    302.26/451.20 = 265.81/x
  3. Step 3: Cross multiply
    302.26x = 451.20 × 265.81
  4. Step 4: Simplify right side
    302.26x = 119,932.14
  5. Step 5: Solve for x
    x = 119,932.14/302.26
  6. Step 6: Final answer
    x = 396.78

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.