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Finding the Fourth Proportional to 178.26, 265.82 and 165.94

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Solution

The fourth proportional to 178.26, 265.82 and 165.94 is: 247.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    178.26 : 265.82 = 165.94 : x
  2. Step 2: Convert to fraction form
    178.26/265.82 = 165.94/x
  3. Step 3: Cross multiply
    178.26x = 265.82 × 165.94
  4. Step 4: Simplify right side
    178.26x = 44,110.17
  5. Step 5: Solve for x
    x = 44,110.17/178.26
  6. Step 6: Final answer
    x = 247.45

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.