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Finding the Fourth Proportional to 186.14, 277.90 and 142.58

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Solution

The fourth proportional to 186.14, 277.90 and 142.58 is: 212.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    186.14 : 277.90 = 142.58 : x
  2. Step 2: Convert to fraction form
    186.14/277.90 = 142.58/x
  3. Step 3: Cross multiply
    186.14x = 277.90 × 142.58
  4. Step 4: Simplify right side
    186.14x = 39,622.98
  5. Step 5: Solve for x
    x = 39,622.98/186.14
  6. Step 6: Final answer
    x = 212.87

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.