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Finding the Fourth Proportional to 366.30, 505.68 and 268.23

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Solution

The fourth proportional to 366.30, 505.68 and 268.23 is: 370.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    366.30 : 505.68 = 268.23 : x
  2. Step 2: Convert to fraction form
    366.30/505.68 = 268.23/x
  3. Step 3: Cross multiply
    366.30x = 505.68 × 268.23
  4. Step 4: Simplify right side
    366.30x = 135,638.55
  5. Step 5: Solve for x
    x = 135,638.55/366.30
  6. Step 6: Final answer
    x = 370.29

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.