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Finding the Fourth Proportional to 165.40, 223.47 and 165.40

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Solution

The fourth proportional to 165.40, 223.47 and 165.40 is: 223.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    165.40 : 223.47 = 165.40 : x
  2. Step 2: Convert to fraction form
    165.40/223.47 = 165.40/x
  3. Step 3: Cross multiply
    165.40x = 223.47 × 165.40
  4. Step 4: Simplify right side
    165.40x = 36,961.94
  5. Step 5: Solve for x
    x = 36,961.94/165.40
  6. Step 6: Final answer
    x = 223.47

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Why These Related Problems?

These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.