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Finding the Fourth Proportional to 186.20, 256.75 and 151.12

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Solution

The fourth proportional to 186.20, 256.75 and 151.12 is: 208.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    186.20 : 256.75 = 151.12 : x
  2. Step 2: Convert to fraction form
    186.20/256.75 = 151.12/x
  3. Step 3: Cross multiply
    186.20x = 256.75 × 151.12
  4. Step 4: Simplify right side
    186.20x = 38,800.20
  5. Step 5: Solve for x
    x = 38,800.20/186.20
  6. Step 6: Final answer
    x = 208.38

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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.