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Finding the Fourth Proportional to 1,221.38, 1,832.13 and 355.76

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Solution

The fourth proportional to 1,221.38, 1,832.13 and 355.76 is: 533.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,221.38 : 1,832.13 = 355.76 : x
  2. Step 2: Convert to fraction form
    1,221.38/1,832.13 = 355.76/x
  3. Step 3: Cross multiply
    1,221.38x = 1,832.13 × 355.76
  4. Step 4: Simplify right side
    1,221.38x = 651,798.57
  5. Step 5: Solve for x
    x = 651,798.57/1,221.38
  6. Step 6: Final answer
    x = 533.66

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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.