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Finding the Fourth Proportional to 165.32, 248.96 and 149.24

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Solution

The fourth proportional to 165.32, 248.96 and 149.24 is: 224.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    165.32 : 248.96 = 149.24 : x
  2. Step 2: Convert to fraction form
    165.32/248.96 = 149.24/x
  3. Step 3: Cross multiply
    165.32x = 248.96 × 149.24
  4. Step 4: Simplify right side
    165.32x = 37,154.79
  5. Step 5: Solve for x
    x = 37,154.79/165.32
  6. Step 6: Final answer
    x = 224.74

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.