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Finding the Fourth Proportional to 1,221.40, 1,832.11 and 355.74

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Solution

The fourth proportional to 1,221.40, 1,832.11 and 355.74 is: 533.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,221.40 : 1,832.11 = 355.74 : x
  2. Step 2: Convert to fraction form
    1,221.40/1,832.11 = 355.74/x
  3. Step 3: Cross multiply
    1,221.40x = 1,832.11 × 355.74
  4. Step 4: Simplify right side
    1,221.40x = 651,754.81
  5. Step 5: Solve for x
    x = 651,754.81/1,221.40
  6. Step 6: Final answer
    x = 533.61

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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.