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Finding the Fourth Proportional to 165.46, 246.66 and 147.10

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Solution

The fourth proportional to 165.46, 246.66 and 147.10 is: 219.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    165.46 : 246.66 = 147.10 : x
  2. Step 2: Convert to fraction form
    165.46/246.66 = 147.10/x
  3. Step 3: Cross multiply
    165.46x = 246.66 × 147.10
  4. Step 4: Simplify right side
    165.46x = 36,283.69
  5. Step 5: Solve for x
    x = 36,283.69/165.46
  6. Step 6: Final answer
    x = 219.29

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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.