Home / 1,314.14-1,971.20-340.22

Finding the Fourth Proportional to 1,314.14, 1,971.20 and 340.22

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Solution

The fourth proportional to 1,314.14, 1,971.20 and 340.22 is: 510.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,314.14 : 1,971.20 = 340.22 : x
  2. Step 2: Convert to fraction form
    1,314.14/1,971.20 = 340.22/x
  3. Step 3: Cross multiply
    1,314.14x = 1,971.20 × 340.22
  4. Step 4: Simplify right side
    1,314.14x = 670,641.66
  5. Step 5: Solve for x
    x = 670,641.66/1,314.14
  6. Step 6: Final answer
    x = 510.33

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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.