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Finding the Fourth Proportional to 286.44, 390.32 and 279.75

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Solution

The fourth proportional to 286.44, 390.32 and 279.75 is: 381.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    286.44 : 390.32 = 279.75 : x
  2. Step 2: Convert to fraction form
    286.44/390.32 = 279.75/x
  3. Step 3: Cross multiply
    286.44x = 390.32 × 279.75
  4. Step 4: Simplify right side
    286.44x = 109,193.13
  5. Step 5: Solve for x
    x = 109,193.13/286.44
  6. Step 6: Final answer
    x = 381.21

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.