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Finding the Fourth Proportional to 165.28, 246.46 and 153.74

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Solution

The fourth proportional to 165.28, 246.46 and 153.74 is: 229.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    165.28 : 246.46 = 153.74 : x
  2. Step 2: Convert to fraction form
    165.28/246.46 = 153.74/x
  3. Step 3: Cross multiply
    165.28x = 246.46 × 153.74
  4. Step 4: Simplify right side
    165.28x = 37,889.91
  5. Step 5: Solve for x
    x = 37,889.91/165.28
  6. Step 6: Final answer
    x = 229.25

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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.