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Finding the Fourth Proportional to 816.42, 1,224.68 and 231.48

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Solution

The fourth proportional to 816.42, 1,224.68 and 231.48 is: 347.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    816.42 : 1,224.68 = 231.48 : x
  2. Step 2: Convert to fraction form
    816.42/1,224.68 = 231.48/x
  3. Step 3: Cross multiply
    816.42x = 1,224.68 × 231.48
  4. Step 4: Simplify right side
    816.42x = 283,487.77
  5. Step 5: Solve for x
    x = 283,487.77/816.42
  6. Step 6: Final answer
    x = 347.23

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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.