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Finding the Fourth Proportional to 186.32, 256.95 and 120.75

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Solution

The fourth proportional to 186.32, 256.95 and 120.75 is: 166.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    186.32 : 256.95 = 120.75 : x
  2. Step 2: Convert to fraction form
    186.32/256.95 = 120.75/x
  3. Step 3: Cross multiply
    186.32x = 256.95 × 120.75
  4. Step 4: Simplify right side
    186.32x = 31,026.71
  5. Step 5: Solve for x
    x = 31,026.71/186.32
  6. Step 6: Final answer
    x = 166.53

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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.