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Finding the Fourth Proportional to 1,288.22, 1,932.30 and 314.33

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Solution

The fourth proportional to 1,288.22, 1,932.30 and 314.33 is: 471.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,288.22 : 1,932.30 = 314.33 : x
  2. Step 2: Convert to fraction form
    1,288.22/1,932.30 = 314.33/x
  3. Step 3: Cross multiply
    1,288.22x = 1,932.30 × 314.33
  4. Step 4: Simplify right side
    1,288.22x = 607,370.20
  5. Step 5: Solve for x
    x = 607,370.20/1,288.22
  6. Step 6: Final answer
    x = 471.48

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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.