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Finding the Fourth Proportional to 187.12, 256.34 and 180.18

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Solution

The fourth proportional to 187.12, 256.34 and 180.18 is: 246.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    187.12 : 256.34 = 180.18 : x
  2. Step 2: Convert to fraction form
    187.12/256.34 = 180.18/x
  3. Step 3: Cross multiply
    187.12x = 256.34 × 180.18
  4. Step 4: Simplify right side
    187.12x = 46,187.34
  5. Step 5: Solve for x
    x = 46,187.34/187.12
  6. Step 6: Final answer
    x = 246.83

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.