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Finding the Fourth Proportional to 186.50, 257.53 and 121.16

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Solution

The fourth proportional to 186.50, 257.53 and 121.16 is: 167.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    186.50 : 257.53 = 121.16 : x
  2. Step 2: Convert to fraction form
    186.50/257.53 = 121.16/x
  3. Step 3: Cross multiply
    186.50x = 257.53 × 121.16
  4. Step 4: Simplify right side
    186.50x = 31,200.74
  5. Step 5: Solve for x
    x = 31,200.74/186.50
  6. Step 6: Final answer
    x = 167.30

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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.