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Finding the Fourth Proportional to 821.25, 1,231.87 and 236.27

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Solution

The fourth proportional to 821.25, 1,231.87 and 236.27 is: 354.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    821.25 : 1,231.87 = 236.27 : x
  2. Step 2: Convert to fraction form
    821.25/1,231.87 = 236.27/x
  3. Step 3: Cross multiply
    821.25x = 1,231.87 × 236.27
  4. Step 4: Simplify right side
    821.25x = 291,047.77
  5. Step 5: Solve for x
    x = 291,047.77/821.25
  6. Step 6: Final answer
    x = 354.40

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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.