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Finding the Fourth Proportional to 165.65, 248.00 and 84.31

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Solution

The fourth proportional to 165.65, 248.00 and 84.31 is: 126.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    165.65 : 248.00 = 84.31 : x
  2. Step 2: Convert to fraction form
    165.65/248.00 = 84.31/x
  3. Step 3: Cross multiply
    165.65x = 248.00 × 84.31
  4. Step 4: Simplify right side
    165.65x = 20,909.71
  5. Step 5: Solve for x
    x = 20,909.71/165.65
  6. Step 6: Final answer
    x = 126.23

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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.