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Finding the Fourth Proportional to 165.62, 249.59 and 164.21

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Solution

The fourth proportional to 165.62, 249.59 and 164.21 is: 247.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    165.62 : 249.59 = 164.21 : x
  2. Step 2: Convert to fraction form
    165.62/249.59 = 164.21/x
  3. Step 3: Cross multiply
    165.62x = 249.59 × 164.21
  4. Step 4: Simplify right side
    165.62x = 40,984.34
  5. Step 5: Solve for x
    x = 40,984.34/165.62
  6. Step 6: Final answer
    x = 247.46

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.