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Finding the Fourth Proportional to 165.88, 247.61 and 145.38

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Solution

The fourth proportional to 165.88, 247.61 and 145.38 is: 217.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    165.88 : 247.61 = 145.38 : x
  2. Step 2: Convert to fraction form
    165.88/247.61 = 145.38/x
  3. Step 3: Cross multiply
    165.88x = 247.61 × 145.38
  4. Step 4: Simplify right side
    165.88x = 35,997.54
  5. Step 5: Solve for x
    x = 35,997.54/165.88
  6. Step 6: Final answer
    x = 217.01

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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.