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Finding the Fourth Proportional to 165.64, 228.62 and 121.88

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Solution

The fourth proportional to 165.64, 228.62 and 121.88 is: 168.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    165.64 : 228.62 = 121.88 : x
  2. Step 2: Convert to fraction form
    165.64/228.62 = 121.88/x
  3. Step 3: Cross multiply
    165.64x = 228.62 × 121.88
  4. Step 4: Simplify right side
    165.64x = 27,864.21
  5. Step 5: Solve for x
    x = 27,864.21/165.64
  6. Step 6: Final answer
    x = 168.22

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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.