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Finding the Fourth Proportional to 187.36, 282.32 and 180.04

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Solution

The fourth proportional to 187.36, 282.32 and 180.04 is: 271.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    187.36 : 282.32 = 180.04 : x
  2. Step 2: Convert to fraction form
    187.36/282.32 = 180.04/x
  3. Step 3: Cross multiply
    187.36x = 282.32 × 180.04
  4. Step 4: Simplify right side
    187.36x = 50,828.89
  5. Step 5: Solve for x
    x = 50,828.89/187.36
  6. Step 6: Final answer
    x = 271.29

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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.