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Finding the Fourth Proportional to 178.25, 266.06 and 165.56

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Solution

The fourth proportional to 178.25, 266.06 and 165.56 is: 247.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    178.25 : 266.06 = 165.56 : x
  2. Step 2: Convert to fraction form
    178.25/266.06 = 165.56/x
  3. Step 3: Cross multiply
    178.25x = 266.06 × 165.56
  4. Step 4: Simplify right side
    178.25x = 44,046.74
  5. Step 5: Solve for x
    x = 44,046.74/178.25
  6. Step 6: Final answer
    x = 247.11

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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.