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Finding the Fourth Proportional to 286.83, 393.47 and 279.23

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Solution

The fourth proportional to 286.83, 393.47 and 279.23 is: 383.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    286.83 : 393.47 = 279.23 : x
  2. Step 2: Convert to fraction form
    286.83/393.47 = 279.23/x
  3. Step 3: Cross multiply
    286.83x = 393.47 × 279.23
  4. Step 4: Simplify right side
    286.83x = 109,866.31
  5. Step 5: Solve for x
    x = 109,866.31/286.83
  6. Step 6: Final answer
    x = 383.04

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.