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Finding the Fourth Proportional to 268.70, 366.08 and 268.70

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Solution

The fourth proportional to 268.70, 366.08 and 268.70 is: 366.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    268.70 : 366.08 = 268.70 : x
  2. Step 2: Convert to fraction form
    268.70/366.08 = 268.70/x
  3. Step 3: Cross multiply
    268.70x = 366.08 × 268.70
  4. Step 4: Simplify right side
    268.70x = 98,365.70
  5. Step 5: Solve for x
    x = 98,365.70/268.70
  6. Step 6: Final answer
    x = 366.08

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.