Home / 1,366.40-2,049.10-442.20

Finding the Fourth Proportional to 1,366.40, 2,049.10 and 442.20

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Solution

The fourth proportional to 1,366.40, 2,049.10 and 442.20 is: 663.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,366.40 : 2,049.10 = 442.20 : x
  2. Step 2: Convert to fraction form
    1,366.40/2,049.10 = 442.20/x
  3. Step 3: Cross multiply
    1,366.40x = 2,049.10 × 442.20
  4. Step 4: Simplify right side
    1,366.40x = 906,112.02
  5. Step 5: Solve for x
    x = 906,112.02/1,366.40
  6. Step 6: Final answer
    x = 663.14

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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.