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Finding the Fourth Proportional to 165.39, 249.13 and 156.30

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Solution

The fourth proportional to 165.39, 249.13 and 156.30 is: 235.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    165.39 : 249.13 = 156.30 : x
  2. Step 2: Convert to fraction form
    165.39/249.13 = 156.30/x
  3. Step 3: Cross multiply
    165.39x = 249.13 × 156.30
  4. Step 4: Simplify right side
    165.39x = 38,939.02
  5. Step 5: Solve for x
    x = 38,939.02/165.39
  6. Step 6: Final answer
    x = 235.44

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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.