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Finding the Fourth Proportional to 268.57, 372.61 and 266.14

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Solution

The fourth proportional to 268.57, 372.61 and 266.14 is: 369.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    268.57 : 372.61 = 266.14 : x
  2. Step 2: Convert to fraction form
    268.57/372.61 = 266.14/x
  3. Step 3: Cross multiply
    268.57x = 372.61 × 266.14
  4. Step 4: Simplify right side
    268.57x = 99,166.43
  5. Step 5: Solve for x
    x = 99,166.43/268.57
  6. Step 6: Final answer
    x = 369.24

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.