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Finding the Fourth Proportional to 186.65, 257.41 and 149.80

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Solution

The fourth proportional to 186.65, 257.41 and 149.80 is: 206.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    186.65 : 257.41 = 149.80 : x
  2. Step 2: Convert to fraction form
    186.65/257.41 = 149.80/x
  3. Step 3: Cross multiply
    186.65x = 257.41 × 149.80
  4. Step 4: Simplify right side
    186.65x = 38,560.02
  5. Step 5: Solve for x
    x = 38,560.02/186.65
  6. Step 6: Final answer
    x = 206.59

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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.