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Finding the Fourth Proportional to 175.38, 262.63 and 170.25

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Solution

The fourth proportional to 175.38, 262.63 and 170.25 is: 254.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    175.38 : 262.63 = 170.25 : x
  2. Step 2: Convert to fraction form
    175.38/262.63 = 170.25/x
  3. Step 3: Cross multiply
    175.38x = 262.63 × 170.25
  4. Step 4: Simplify right side
    175.38x = 44,712.76
  5. Step 5: Solve for x
    x = 44,712.76/175.38
  6. Step 6: Final answer
    x = 254.95

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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.