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Finding the Fourth Proportional to 165.61, 225.37 and 164.80

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Solution

The fourth proportional to 165.61, 225.37 and 164.80 is: 224.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    165.61 : 225.37 = 164.80 : x
  2. Step 2: Convert to fraction form
    165.61/225.37 = 164.80/x
  3. Step 3: Cross multiply
    165.61x = 225.37 × 164.80
  4. Step 4: Simplify right side
    165.61x = 37,140.98
  5. Step 5: Solve for x
    x = 37,140.98/165.61
  6. Step 6: Final answer
    x = 224.27

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.