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Finding the Fourth Proportional to 187.38, 282.56 and 172.26

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Solution

The fourth proportional to 187.38, 282.56 and 172.26 is: 259.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    187.38 : 282.56 = 172.26 : x
  2. Step 2: Convert to fraction form
    187.38/282.56 = 172.26/x
  3. Step 3: Cross multiply
    187.38x = 282.56 × 172.26
  4. Step 4: Simplify right side
    187.38x = 48,672.92
  5. Step 5: Solve for x
    x = 48,672.92/187.38
  6. Step 6: Final answer
    x = 259.76

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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.