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Finding the Fourth Proportional to 166.41, 247.77 and 165.60

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Solution

The fourth proportional to 166.41, 247.77 and 165.60 is: 246.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    166.41 : 247.77 = 165.60 : x
  2. Step 2: Convert to fraction form
    166.41/247.77 = 165.60/x
  3. Step 3: Cross multiply
    166.41x = 247.77 × 165.60
  4. Step 4: Simplify right side
    166.41x = 41,030.71
  5. Step 5: Solve for x
    x = 41,030.71/166.41
  6. Step 6: Final answer
    x = 246.56

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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.