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Finding the Fourth Proportional to 186.90, 279.86 and 150.17

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Solution

The fourth proportional to 186.90, 279.86 and 150.17 is: 224.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    186.90 : 279.86 = 150.17 : x
  2. Step 2: Convert to fraction form
    186.90/279.86 = 150.17/x
  3. Step 3: Cross multiply
    186.90x = 279.86 × 150.17
  4. Step 4: Simplify right side
    186.90x = 42,026.58
  5. Step 5: Solve for x
    x = 42,026.58/186.90
  6. Step 6: Final answer
    x = 224.86

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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.