Home / 1,364.13-2,046.20-338.13

Finding the Fourth Proportional to 1,364.13, 2,046.20 and 338.13

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Solution

The fourth proportional to 1,364.13, 2,046.20 and 338.13 is: 507.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,364.13 : 2,046.20 = 338.13 : x
  2. Step 2: Convert to fraction form
    1,364.13/2,046.20 = 338.13/x
  3. Step 3: Cross multiply
    1,364.13x = 2,046.20 × 338.13
  4. Step 4: Simplify right side
    1,364.13x = 691,881.61
  5. Step 5: Solve for x
    x = 691,881.61/1,364.13
  6. Step 6: Final answer
    x = 507.20

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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.