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Finding the Fourth Proportional to 165.53, 247.10 and 142.45

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Solution

The fourth proportional to 165.53, 247.10 and 142.45 is: 212.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    165.53 : 247.10 = 142.45 : x
  2. Step 2: Convert to fraction form
    165.53/247.10 = 142.45/x
  3. Step 3: Cross multiply
    165.53x = 247.10 × 142.45
  4. Step 4: Simplify right side
    165.53x = 35,198.16
  5. Step 5: Solve for x
    x = 35,198.16/165.53
  6. Step 6: Final answer
    x = 212.64

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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.