Home / 1,161.90-1,742.85-296.21

Finding the Fourth Proportional to 1,161.90, 1,742.85 and 296.21

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Solution

The fourth proportional to 1,161.90, 1,742.85 and 296.21 is: 444.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,161.90 : 1,742.85 = 296.21 : x
  2. Step 2: Convert to fraction form
    1,161.90/1,742.85 = 296.21/x
  3. Step 3: Cross multiply
    1,161.90x = 1,742.85 × 296.21
  4. Step 4: Simplify right side
    1,161.90x = 516,240.88
  5. Step 5: Solve for x
    x = 516,240.88/1,161.90
  6. Step 6: Final answer
    x = 444.31

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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.