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Finding the Fourth Proportional to 169.44, 253.75 and 152.33

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Solution

The fourth proportional to 169.44, 253.75 and 152.33 is: 228.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    169.44 : 253.75 = 152.33 : x
  2. Step 2: Convert to fraction form
    169.44/253.75 = 152.33/x
  3. Step 3: Cross multiply
    169.44x = 253.75 × 152.33
  4. Step 4: Simplify right side
    169.44x = 38,652.98
  5. Step 5: Solve for x
    x = 38,652.98/169.44
  6. Step 6: Final answer
    x = 228.12

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.