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Finding the Fourth Proportional to 286.31, 427.28 and 279.02

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Solution

The fourth proportional to 286.31, 427.28 and 279.02 is: 416.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    286.31 : 427.28 = 279.02 : x
  2. Step 2: Convert to fraction form
    286.31/427.28 = 279.02/x
  3. Step 3: Cross multiply
    286.31x = 427.28 × 279.02
  4. Step 4: Simplify right side
    286.31x = 119,216.13
  5. Step 5: Solve for x
    x = 119,216.13/286.31
  6. Step 6: Final answer
    x = 416.40

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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.