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Finding the Fourth Proportional to 126.65, 191.40 and 126.65

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Solution

The fourth proportional to 126.65, 191.40 and 126.65 is: 191.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    126.65 : 191.40 = 126.65 : x
  2. Step 2: Convert to fraction form
    126.65/191.40 = 126.65/x
  3. Step 3: Cross multiply
    126.65x = 191.40 × 126.65
  4. Step 4: Simplify right side
    126.65x = 24,239.85
  5. Step 5: Solve for x
    x = 24,239.85/126.65
  6. Step 6: Final answer
    x = 191.40

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.