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Finding the Fourth Proportional to 186.22, 279.06 and 99.37

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Solution

The fourth proportional to 186.22, 279.06 and 99.37 is: 148.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    186.22 : 279.06 = 99.37 : x
  2. Step 2: Convert to fraction form
    186.22/279.06 = 99.37/x
  3. Step 3: Cross multiply
    186.22x = 279.06 × 99.37
  4. Step 4: Simplify right side
    186.22x = 27,730.19
  5. Step 5: Solve for x
    x = 27,730.19/186.22
  6. Step 6: Final answer
    x = 148.91

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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.