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Finding the Fourth Proportional to 165.40, 225.13 and 165.40

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Solution

The fourth proportional to 165.40, 225.13 and 165.40 is: 225.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    165.40 : 225.13 = 165.40 : x
  2. Step 2: Convert to fraction form
    165.40/225.13 = 165.40/x
  3. Step 3: Cross multiply
    165.40x = 225.13 × 165.40
  4. Step 4: Simplify right side
    165.40x = 37,236.50
  5. Step 5: Solve for x
    x = 37,236.50/165.40
  6. Step 6: Final answer
    x = 225.13

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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.