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Finding the Fourth Proportional to 186.21, 277.74 and 162.86

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Solution

The fourth proportional to 186.21, 277.74 and 162.86 is: 242.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    186.21 : 277.74 = 162.86 : x
  2. Step 2: Convert to fraction form
    186.21/277.74 = 162.86/x
  3. Step 3: Cross multiply
    186.21x = 277.74 × 162.86
  4. Step 4: Simplify right side
    186.21x = 45,231.35
  5. Step 5: Solve for x
    x = 45,231.35/186.21
  6. Step 6: Final answer
    x = 242.91

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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.