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Finding the Fourth Proportional to 165.00, 227.76 and 159.20

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Solution

The fourth proportional to 165.00, 227.76 and 159.20 is: 219.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    165.00 : 227.76 = 159.20 : x
  2. Step 2: Convert to fraction form
    165.00/227.76 = 159.20/x
  3. Step 3: Cross multiply
    165.00x = 227.76 × 159.20
  4. Step 4: Simplify right side
    165.00x = 36,259.41
  5. Step 5: Solve for x
    x = 36,259.41/165.00
  6. Step 6: Final answer
    x = 219.75

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.