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Finding the Fourth Proportional to 186.69, 257.56 and 112.98

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Solution

The fourth proportional to 186.69, 257.56 and 112.98 is: 155.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    186.69 : 257.56 = 112.98 : x
  2. Step 2: Convert to fraction form
    186.69/257.56 = 112.98/x
  3. Step 3: Cross multiply
    186.69x = 257.56 × 112.98
  4. Step 4: Simplify right side
    186.69x = 29,098.36
  5. Step 5: Solve for x
    x = 29,098.36/186.69
  6. Step 6: Final answer
    x = 155.87

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.