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Finding the Fourth Proportional to 1,343.05, 2,014.35 and 368.92

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Solution

The fourth proportional to 1,343.05, 2,014.35 and 368.92 is: 553.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,343.05 : 2,014.35 = 368.92 : x
  2. Step 2: Convert to fraction form
    1,343.05/2,014.35 = 368.92/x
  3. Step 3: Cross multiply
    1,343.05x = 2,014.35 × 368.92
  4. Step 4: Simplify right side
    1,343.05x = 743,134.00
  5. Step 5: Solve for x
    x = 743,134.00/1,343.05
  6. Step 6: Final answer
    x = 553.32

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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.