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Finding the Fourth Proportional to 308.09, 462.14 and 125.35

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Solution

The fourth proportional to 308.09, 462.14 and 125.35 is: 188.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    308.09 : 462.14 = 125.35 : x
  2. Step 2: Convert to fraction form
    308.09/462.14 = 125.35/x
  3. Step 3: Cross multiply
    308.09x = 462.14 × 125.35
  4. Step 4: Simplify right side
    308.09x = 57,930.60
  5. Step 5: Solve for x
    x = 57,930.60/308.09
  6. Step 6: Final answer
    x = 188.03

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.