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Finding the Fourth Proportional to 187.26, 282.15 and 167.60

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Solution

The fourth proportional to 187.26, 282.15 and 167.60 is: 252.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    187.26 : 282.15 = 167.60 : x
  2. Step 2: Convert to fraction form
    187.26/282.15 = 167.60/x
  3. Step 3: Cross multiply
    187.26x = 282.15 × 167.60
  4. Step 4: Simplify right side
    187.26x = 47,288.34
  5. Step 5: Solve for x
    x = 47,288.34/187.26
  6. Step 6: Final answer
    x = 252.53

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.