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Finding the Fourth Proportional to 165.22, 247.81 and 84.00

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Solution

The fourth proportional to 165.22, 247.81 and 84.00 is: 125.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    165.22 : 247.81 = 84.00 : x
  2. Step 2: Convert to fraction form
    165.22/247.81 = 84.00/x
  3. Step 3: Cross multiply
    165.22x = 247.81 × 84.00
  4. Step 4: Simplify right side
    165.22x = 20,814.38
  5. Step 5: Solve for x
    x = 20,814.38/165.22
  6. Step 6: Final answer
    x = 125.98

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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.