Home / 1,092.30-1,638.27-301.47

Finding the Fourth Proportional to 1,092.30, 1,638.27 and 301.47

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Solution

The fourth proportional to 1,092.30, 1,638.27 and 301.47 is: 452.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,092.30 : 1,638.27 = 301.47 : x
  2. Step 2: Convert to fraction form
    1,092.30/1,638.27 = 301.47/x
  3. Step 3: Cross multiply
    1,092.30x = 1,638.27 × 301.47
  4. Step 4: Simplify right side
    1,092.30x = 493,887.75
  5. Step 5: Solve for x
    x = 493,887.75/1,092.30
  6. Step 6: Final answer
    x = 452.15

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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.