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Finding the Fourth Proportional to 165.92, 247.32 and 165.65

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Solution

The fourth proportional to 165.92, 247.32 and 165.65 is: 246.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    165.92 : 247.32 = 165.65 : x
  2. Step 2: Convert to fraction form
    165.92/247.32 = 165.65/x
  3. Step 3: Cross multiply
    165.92x = 247.32 × 165.65
  4. Step 4: Simplify right side
    165.92x = 40,967.32
  5. Step 5: Solve for x
    x = 40,967.32/165.92
  6. Step 6: Final answer
    x = 246.92

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.