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Finding the Fourth Proportional to 252.32, 377.76 and 170.64

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Solution

The fourth proportional to 252.32, 377.76 and 170.64 is: 255.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    252.32 : 377.76 = 170.64 : x
  2. Step 2: Convert to fraction form
    252.32/377.76 = 170.64/x
  3. Step 3: Cross multiply
    252.32x = 377.76 × 170.64
  4. Step 4: Simplify right side
    252.32x = 64,460.97
  5. Step 5: Solve for x
    x = 64,460.97/252.32
  6. Step 6: Final answer
    x = 255.47

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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.