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Finding the Fourth Proportional to 165.57, 228.38 and 132.99

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Solution

The fourth proportional to 165.57, 228.38 and 132.99 is: 183.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    165.57 : 228.38 = 132.99 : x
  2. Step 2: Convert to fraction form
    165.57/228.38 = 132.99/x
  3. Step 3: Cross multiply
    165.57x = 228.38 × 132.99
  4. Step 4: Simplify right side
    165.57x = 30,372.26
  5. Step 5: Solve for x
    x = 30,372.26/165.57
  6. Step 6: Final answer
    x = 183.44

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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.