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Finding the Fourth Proportional to 186.32, 276.56 and 174.32

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Solution

The fourth proportional to 186.32, 276.56 and 174.32 is: 258.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    186.32 : 276.56 = 174.32 : x
  2. Step 2: Convert to fraction form
    186.32/276.56 = 174.32/x
  3. Step 3: Cross multiply
    186.32x = 276.56 × 174.32
  4. Step 4: Simplify right side
    186.32x = 48,209.94
  5. Step 5: Solve for x
    x = 48,209.94/186.32
  6. Step 6: Final answer
    x = 258.75

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Why These Related Problems?

These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.