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Finding the Fourth Proportional to 165.12, 246.41 and 147.82

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Solution

The fourth proportional to 165.12, 246.41 and 147.82 is: 220.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    165.12 : 246.41 = 147.82 : x
  2. Step 2: Convert to fraction form
    165.12/246.41 = 147.82/x
  3. Step 3: Cross multiply
    165.12x = 246.41 × 147.82
  4. Step 4: Simplify right side
    165.12x = 36,423.66
  5. Step 5: Solve for x
    x = 36,423.66/165.12
  6. Step 6: Final answer
    x = 220.60

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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.