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Finding the Fourth Proportional to 286.64, 427.34 and 279.42

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Solution

The fourth proportional to 286.64, 427.34 and 279.42 is: 416.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    286.64 : 427.34 = 279.42 : x
  2. Step 2: Convert to fraction form
    286.64/427.34 = 279.42/x
  3. Step 3: Cross multiply
    286.64x = 427.34 × 279.42
  4. Step 4: Simplify right side
    286.64x = 119,407.34
  5. Step 5: Solve for x
    x = 119,407.34/286.64
  6. Step 6: Final answer
    x = 416.58

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.