Home / 165.20-246.26-152.24

Finding the Fourth Proportional to 165.20, 246.26 and 152.24

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Solution

The fourth proportional to 165.20, 246.26 and 152.24 is: 226.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    165.20 : 246.26 = 152.24 : x
  2. Step 2: Convert to fraction form
    165.20/246.26 = 152.24/x
  3. Step 3: Cross multiply
    165.20x = 246.26 × 152.24
  4. Step 4: Simplify right side
    165.20x = 37,489.77
  5. Step 5: Solve for x
    x = 37,489.77/165.20
  6. Step 6: Final answer
    x = 226.94

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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.