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Finding the Fourth Proportional to 742.81, 1,114.38 and 222.82

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Solution

The fourth proportional to 742.81, 1,114.38 and 222.82 is: 334.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    742.81 : 1,114.38 = 222.82 : x
  2. Step 2: Convert to fraction form
    742.81/1,114.38 = 222.82/x
  3. Step 3: Cross multiply
    742.81x = 1,114.38 × 222.82
  4. Step 4: Simplify right side
    742.81x = 248,306.15
  5. Step 5: Solve for x
    x = 248,306.15/742.81
  6. Step 6: Final answer
    x = 334.28

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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.