Home / 1,380.28-2,070.44-340.28

Finding the Fourth Proportional to 1,380.28, 2,070.44 and 340.28

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Solution

The fourth proportional to 1,380.28, 2,070.44 and 340.28 is: 510.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,380.28 : 2,070.44 = 340.28 : x
  2. Step 2: Convert to fraction form
    1,380.28/2,070.44 = 340.28/x
  3. Step 3: Cross multiply
    1,380.28x = 2,070.44 × 340.28
  4. Step 4: Simplify right side
    1,380.28x = 704,529.32
  5. Step 5: Solve for x
    x = 704,529.32/1,380.28
  6. Step 6: Final answer
    x = 510.42

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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.