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Finding the Fourth Proportional to 282.73, 390.64 and 272.87

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Solution

The fourth proportional to 282.73, 390.64 and 272.87 is: 377.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    282.73 : 390.64 = 272.87 : x
  2. Step 2: Convert to fraction form
    282.73/390.64 = 272.87/x
  3. Step 3: Cross multiply
    282.73x = 390.64 × 272.87
  4. Step 4: Simplify right side
    282.73x = 106,593.94
  5. Step 5: Solve for x
    x = 106,593.94/282.73
  6. Step 6: Final answer
    x = 377.02

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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.