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Finding the Fourth Proportional to 175.39, 262.74 and 106.71

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Solution

The fourth proportional to 175.39, 262.74 and 106.71 is: 159.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    175.39 : 262.74 = 106.71 : x
  2. Step 2: Convert to fraction form
    175.39/262.74 = 106.71/x
  3. Step 3: Cross multiply
    175.39x = 262.74 × 106.71
  4. Step 4: Simplify right side
    175.39x = 28,036.40
  5. Step 5: Solve for x
    x = 28,036.40/175.39
  6. Step 6: Final answer
    x = 159.85

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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.