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Finding the Fourth Proportional to 1,221.36, 1,832.04 and 356.28

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Solution

The fourth proportional to 1,221.36, 1,832.04 and 356.28 is: 534.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,221.36 : 1,832.04 = 356.28 : x
  2. Step 2: Convert to fraction form
    1,221.36/1,832.04 = 356.28/x
  3. Step 3: Cross multiply
    1,221.36x = 1,832.04 × 356.28
  4. Step 4: Simplify right side
    1,221.36x = 652,719.21
  5. Step 5: Solve for x
    x = 652,719.21/1,221.36
  6. Step 6: Final answer
    x = 534.42

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1.5x scale

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.