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Finding the Fourth Proportional to 187.91, 282.16 and 123.33

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Solution

The fourth proportional to 187.91, 282.16 and 123.33 is: 185.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    187.91 : 282.16 = 123.33 : x
  2. Step 2: Convert to fraction form
    187.91/282.16 = 123.33/x
  3. Step 3: Cross multiply
    187.91x = 282.16 × 123.33
  4. Step 4: Simplify right side
    187.91x = 34,796.77
  5. Step 5: Solve for x
    x = 34,796.77/187.91
  6. Step 6: Final answer
    x = 185.18

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.