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Finding the Fourth Proportional to 186.30, 277.83 and 151.74

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Solution

The fourth proportional to 186.30, 277.83 and 151.74 is: 226.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    186.30 : 277.83 = 151.74 : x
  2. Step 2: Convert to fraction form
    186.30/277.83 = 151.74/x
  3. Step 3: Cross multiply
    186.30x = 277.83 × 151.74
  4. Step 4: Simplify right side
    186.30x = 42,157.92
  5. Step 5: Solve for x
    x = 42,157.92/186.30
  6. Step 6: Final answer
    x = 226.29

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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.