Home / 1,092.12-1,638.01-301.30

Finding the Fourth Proportional to 1,092.12, 1,638.01 and 301.30

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Solution

The fourth proportional to 1,092.12, 1,638.01 and 301.30 is: 451.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,092.12 : 1,638.01 = 301.30 : x
  2. Step 2: Convert to fraction form
    1,092.12/1,638.01 = 301.30/x
  3. Step 3: Cross multiply
    1,092.12x = 1,638.01 × 301.30
  4. Step 4: Simplify right side
    1,092.12x = 493,523.93
  5. Step 5: Solve for x
    x = 493,523.93/1,092.12
  6. Step 6: Final answer
    x = 451.90

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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.