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Finding the Fourth Proportional to 731.19, 1,095.64 and 268.33

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Solution

The fourth proportional to 731.19, 1,095.64 and 268.33 is: 402.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    731.19 : 1,095.64 = 268.33 : x
  2. Step 2: Convert to fraction form
    731.19/1,095.64 = 268.33/x
  3. Step 3: Cross multiply
    731.19x = 1,095.64 × 268.33
  4. Step 4: Simplify right side
    731.19x = 293,997.03
  5. Step 5: Solve for x
    x = 293,997.03/731.19
  6. Step 6: Final answer
    x = 402.08

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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.