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Finding the Fourth Proportional to 186.34, 257.30 and 149.66

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Solution

The fourth proportional to 186.34, 257.30 and 149.66 is: 206.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    186.34 : 257.30 = 149.66 : x
  2. Step 2: Convert to fraction form
    186.34/257.30 = 149.66/x
  3. Step 3: Cross multiply
    186.34x = 257.30 × 149.66
  4. Step 4: Simplify right side
    186.34x = 38,506.77
  5. Step 5: Solve for x
    x = 38,506.77/186.34
  6. Step 6: Final answer
    x = 206.65

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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.