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Finding the Fourth Proportional to 187.32, 282.29 and 180.60

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Solution

The fourth proportional to 187.32, 282.29 and 180.60 is: 272.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    187.32 : 282.29 = 180.60 : x
  2. Step 2: Convert to fraction form
    187.32/282.29 = 180.60/x
  3. Step 3: Cross multiply
    187.32x = 282.29 × 180.60
  4. Step 4: Simplify right side
    187.32x = 50,981.57
  5. Step 5: Solve for x
    x = 50,981.57/187.32
  6. Step 6: Final answer
    x = 272.16

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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.