Home / 1,089.89-1,634.80-268.16

Finding the Fourth Proportional to 1,089.89, 1,634.80 and 268.16

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Solution

The fourth proportional to 1,089.89, 1,634.80 and 268.16 is: 402.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,089.89 : 1,634.80 = 268.16 : x
  2. Step 2: Convert to fraction form
    1,089.89/1,634.80 = 268.16/x
  3. Step 3: Cross multiply
    1,089.89x = 1,634.80 × 268.16
  4. Step 4: Simplify right side
    1,089.89x = 438,387.97
  5. Step 5: Solve for x
    x = 438,387.97/1,089.89
  6. Step 6: Final answer
    x = 402.23

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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.