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Finding the Fourth Proportional to 186.91, 257.94 and 109.30

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Solution

The fourth proportional to 186.91, 257.94 and 109.30 is: 150.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    186.91 : 257.94 = 109.30 : x
  2. Step 2: Convert to fraction form
    186.91/257.94 = 109.30/x
  3. Step 3: Cross multiply
    186.91x = 257.94 × 109.30
  4. Step 4: Simplify right side
    186.91x = 28,192.84
  5. Step 5: Solve for x
    x = 28,192.84/186.91
  6. Step 6: Final answer
    x = 150.84

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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.