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Finding the Fourth Proportional to 837.69, 1,256.42 and 221.45

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Solution

The fourth proportional to 837.69, 1,256.42 and 221.45 is: 332.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    837.69 : 1,256.42 = 221.45 : x
  2. Step 2: Convert to fraction form
    837.69/1,256.42 = 221.45/x
  3. Step 3: Cross multiply
    837.69x = 1,256.42 × 221.45
  4. Step 4: Simplify right side
    837.69x = 278,226.82
  5. Step 5: Solve for x
    x = 278,226.82/837.69
  6. Step 6: Final answer
    x = 332.14

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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.