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Finding the Fourth Proportional to 286.50, 428.98 and 235.75

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Solution

The fourth proportional to 286.50, 428.98 and 235.75 is: 352.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    286.50 : 428.98 = 235.75 : x
  2. Step 2: Convert to fraction form
    286.50/428.98 = 235.75/x
  3. Step 3: Cross multiply
    286.50x = 428.98 × 235.75
  4. Step 4: Simplify right side
    286.50x = 101,131.93
  5. Step 5: Solve for x
    x = 101,131.93/286.50
  6. Step 6: Final answer
    x = 352.99

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.