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Finding the Fourth Proportional to 165.99, 247.76 and 144.47

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Solution

The fourth proportional to 165.99, 247.76 and 144.47 is: 215.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    165.99 : 247.76 = 144.47 : x
  2. Step 2: Convert to fraction form
    165.99/247.76 = 144.47/x
  3. Step 3: Cross multiply
    165.99x = 247.76 × 144.47
  4. Step 4: Simplify right side
    165.99x = 35,794.87
  5. Step 5: Solve for x
    x = 35,794.87/165.99
  6. Step 6: Final answer
    x = 215.64

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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.