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Finding the Fourth Proportional to 1,343.30, 2,014.71 and 369.19

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Solution

The fourth proportional to 1,343.30, 2,014.71 and 369.19 is: 553.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,343.30 : 2,014.71 = 369.19 : x
  2. Step 2: Convert to fraction form
    1,343.30/2,014.71 = 369.19/x
  3. Step 3: Cross multiply
    1,343.30x = 2,014.71 × 369.19
  4. Step 4: Simplify right side
    1,343.30x = 743,800.71
  5. Step 5: Solve for x
    x = 743,800.71/1,343.30
  6. Step 6: Final answer
    x = 553.71

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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.