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Finding the Fourth Proportional to 282.91, 390.81 and 271.84

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Solution

The fourth proportional to 282.91, 390.81 and 271.84 is: 375.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    282.91 : 390.81 = 271.84 : x
  2. Step 2: Convert to fraction form
    282.91/390.81 = 271.84/x
  3. Step 3: Cross multiply
    282.91x = 390.81 × 271.84
  4. Step 4: Simplify right side
    282.91x = 106,237.79
  5. Step 5: Solve for x
    x = 106,237.79/282.91
  6. Step 6: Final answer
    x = 375.52

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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.