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Finding the Fourth Proportional to 165.42, 248.19 and 157.97

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Solution

The fourth proportional to 165.42, 248.19 and 157.97 is: 237.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    165.42 : 248.19 = 157.97 : x
  2. Step 2: Convert to fraction form
    165.42/248.19 = 157.97/x
  3. Step 3: Cross multiply
    165.42x = 248.19 × 157.97
  4. Step 4: Simplify right side
    165.42x = 39,205.33
  5. Step 5: Solve for x
    x = 39,205.33/165.42
  6. Step 6: Final answer
    x = 237.00

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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.