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Finding the Fourth Proportional to 1,221.89, 1,832.68 and 356.20

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Solution

The fourth proportional to 1,221.89, 1,832.68 and 356.20 is: 534.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,221.89 : 1,832.68 = 356.20 : x
  2. Step 2: Convert to fraction form
    1,221.89/1,832.68 = 356.20/x
  3. Step 3: Cross multiply
    1,221.89x = 1,832.68 × 356.20
  4. Step 4: Simplify right side
    1,221.89x = 652,795.14
  5. Step 5: Solve for x
    x = 652,795.14/1,221.89
  6. Step 6: Final answer
    x = 534.25

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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.