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Finding the Fourth Proportional to 187.36, 282.14 and 164.78

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Solution

The fourth proportional to 187.36, 282.14 and 164.78 is: 248.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    187.36 : 282.14 = 164.78 : x
  2. Step 2: Convert to fraction form
    187.36/282.14 = 164.78/x
  3. Step 3: Cross multiply
    187.36x = 282.14 × 164.78
  4. Step 4: Simplify right side
    187.36x = 46,491.03
  5. Step 5: Solve for x
    x = 46,491.03/187.36
  6. Step 6: Final answer
    x = 248.14

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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.