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Finding the Fourth Proportional to 917.26, 1,376.20 and 268.09

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Solution

The fourth proportional to 917.26, 1,376.20 and 268.09 is: 402.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    917.26 : 1,376.20 = 268.09 : x
  2. Step 2: Convert to fraction form
    917.26/1,376.20 = 268.09/x
  3. Step 3: Cross multiply
    917.26x = 1,376.20 × 268.09
  4. Step 4: Simplify right side
    917.26x = 368,942.35
  5. Step 5: Solve for x
    x = 368,942.35/917.26
  6. Step 6: Final answer
    x = 402.22

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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.