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Finding the Fourth Proportional to 165.89, 247.08 and 157.22

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Solution

The fourth proportional to 165.89, 247.08 and 157.22 is: 234.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    165.89 : 247.08 = 157.22 : x
  2. Step 2: Convert to fraction form
    165.89/247.08 = 157.22/x
  3. Step 3: Cross multiply
    165.89x = 247.08 × 157.22
  4. Step 4: Simplify right side
    165.89x = 38,845.44
  5. Step 5: Solve for x
    x = 38,845.44/165.89
  6. Step 6: Final answer
    x = 234.16

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.