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Finding the Fourth Proportional to 165.07, 246.31 and 147.75

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Solution

The fourth proportional to 165.07, 246.31 and 147.75 is: 220.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    165.07 : 246.31 = 147.75 : x
  2. Step 2: Convert to fraction form
    165.07/246.31 = 147.75/x
  3. Step 3: Cross multiply
    165.07x = 246.31 × 147.75
  4. Step 4: Simplify right side
    165.07x = 36,391.93
  5. Step 5: Solve for x
    x = 36,391.93/165.07
  6. Step 6: Final answer
    x = 220.47

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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.