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Finding the Fourth Proportional to 165.10, 231.30 and 165.10

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Solution

The fourth proportional to 165.10, 231.30 and 165.10 is: 231.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    165.10 : 231.30 = 165.10 : x
  2. Step 2: Convert to fraction form
    165.10/231.30 = 165.10/x
  3. Step 3: Cross multiply
    165.10x = 231.30 × 165.10
  4. Step 4: Simplify right side
    165.10x = 38,187.63
  5. Step 5: Solve for x
    x = 38,187.63/165.10
  6. Step 6: Final answer
    x = 231.30

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.