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Finding the Fourth Proportional to 165.88, 229.14 and 146.18

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Solution

The fourth proportional to 165.88, 229.14 and 146.18 is: 201.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    165.88 : 229.14 = 146.18 : x
  2. Step 2: Convert to fraction form
    165.88/229.14 = 146.18/x
  3. Step 3: Cross multiply
    165.88x = 229.14 × 146.18
  4. Step 4: Simplify right side
    165.88x = 33,495.69
  5. Step 5: Solve for x
    x = 33,495.69/165.88
  6. Step 6: Final answer
    x = 201.93

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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.