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Finding the Fourth Proportional to 299.51, 451.41 and 282.76

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Solution

The fourth proportional to 299.51, 451.41 and 282.76 is: 426.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    299.51 : 451.41 = 282.76 : x
  2. Step 2: Convert to fraction form
    299.51/451.41 = 282.76/x
  3. Step 3: Cross multiply
    299.51x = 451.41 × 282.76
  4. Step 4: Simplify right side
    299.51x = 127,639.28
  5. Step 5: Solve for x
    x = 127,639.28/299.51
  6. Step 6: Final answer
    x = 426.17

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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.