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Finding the Fourth Proportional to 165.15, 246.33 and 153.81

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Solution

The fourth proportional to 165.15, 246.33 and 153.81 is: 229.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    165.15 : 246.33 = 153.81 : x
  2. Step 2: Convert to fraction form
    165.15/246.33 = 153.81/x
  3. Step 3: Cross multiply
    165.15x = 246.33 × 153.81
  4. Step 4: Simplify right side
    165.15x = 37,888.02
  5. Step 5: Solve for x
    x = 37,888.02/165.15
  6. Step 6: Final answer
    x = 229.42

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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.