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Finding the Fourth Proportional to 175.87, 263.96 and 143.74

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Solution

The fourth proportional to 175.87, 263.96 and 143.74 is: 215.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    175.87 : 263.96 = 143.74 : x
  2. Step 2: Convert to fraction form
    175.87/263.96 = 143.74/x
  3. Step 3: Cross multiply
    175.87x = 263.96 × 143.74
  4. Step 4: Simplify right side
    175.87x = 37,941.61
  5. Step 5: Solve for x
    x = 37,941.61/175.87
  6. Step 6: Final answer
    x = 215.74

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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.