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Finding the Fourth Proportional to 186.47, 279.51 and 99.72

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Solution

The fourth proportional to 186.47, 279.51 and 99.72 is: 149.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    186.47 : 279.51 = 99.72 : x
  2. Step 2: Convert to fraction form
    186.47/279.51 = 99.72/x
  3. Step 3: Cross multiply
    186.47x = 279.51 × 99.72
  4. Step 4: Simplify right side
    186.47x = 27,872.49
  5. Step 5: Solve for x
    x = 27,872.49/186.47
  6. Step 6: Final answer
    x = 149.47

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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.