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Finding the Fourth Proportional to 286.32, 427.10 and 240.96

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Solution

The fourth proportional to 286.32, 427.10 and 240.96 is: 359.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    286.32 : 427.10 = 240.96 : x
  2. Step 2: Convert to fraction form
    286.32/427.10 = 240.96/x
  3. Step 3: Cross multiply
    286.32x = 427.10 × 240.96
  4. Step 4: Simplify right side
    286.32x = 102,914.02
  5. Step 5: Solve for x
    x = 102,914.02/286.32
  6. Step 6: Final answer
    x = 359.44

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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.