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Finding the Fourth Proportional to 187.82, 282.22 and 106.72

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Solution

The fourth proportional to 187.82, 282.22 and 106.72 is: 160.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    187.82 : 282.22 = 106.72 : x
  2. Step 2: Convert to fraction form
    187.82/282.22 = 106.72/x
  3. Step 3: Cross multiply
    187.82x = 282.22 × 106.72
  4. Step 4: Simplify right side
    187.82x = 30,117.55
  5. Step 5: Solve for x
    x = 30,117.55/187.82
  6. Step 6: Final answer
    x = 160.35

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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.