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Finding the Fourth Proportional to 275.52, 379.76 and 186.82

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Solution

The fourth proportional to 275.52, 379.76 and 186.82 is: 257.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    275.52 : 379.76 = 186.82 : x
  2. Step 2: Convert to fraction form
    275.52/379.76 = 186.82/x
  3. Step 3: Cross multiply
    275.52x = 379.76 × 186.82
  4. Step 4: Simplify right side
    275.52x = 70,946.76
  5. Step 5: Solve for x
    x = 70,946.76/275.52
  6. Step 6: Final answer
    x = 257.50

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.