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Finding the Fourth Proportional to 186.49, 257.20 and 121.02

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Solution

The fourth proportional to 186.49, 257.20 and 121.02 is: 166.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    186.49 : 257.20 = 121.02 : x
  2. Step 2: Convert to fraction form
    186.49/257.20 = 121.02/x
  3. Step 3: Cross multiply
    186.49x = 257.20 × 121.02
  4. Step 4: Simplify right side
    186.49x = 31,126.34
  5. Step 5: Solve for x
    x = 31,126.34/186.49
  6. Step 6: Final answer
    x = 166.91

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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.