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Finding the Fourth Proportional to 166.02, 248.95 and 69.74

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Solution

The fourth proportional to 166.02, 248.95 and 69.74 is: 104.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    166.02 : 248.95 = 69.74 : x
  2. Step 2: Convert to fraction form
    166.02/248.95 = 69.74/x
  3. Step 3: Cross multiply
    166.02x = 248.95 × 69.74
  4. Step 4: Simplify right side
    166.02x = 17,361.77
  5. Step 5: Solve for x
    x = 17,361.77/166.02
  6. Step 6: Final answer
    x = 104.58

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.