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Finding the Fourth Proportional to 186.49, 279.71 and 49.55

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Solution

The fourth proportional to 186.49, 279.71 and 49.55 is: 74.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    186.49 : 279.71 = 49.55 : x
  2. Step 2: Convert to fraction form
    186.49/279.71 = 49.55/x
  3. Step 3: Cross multiply
    186.49x = 279.71 × 49.55
  4. Step 4: Simplify right side
    186.49x = 13,857.98
  5. Step 5: Solve for x
    x = 13,857.98/186.49
  6. Step 6: Final answer
    x = 74.31

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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.