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Finding the Fourth Proportional to 166.58, 248.67 and 143.90

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Solution

The fourth proportional to 166.58, 248.67 and 143.90 is: 214.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    166.58 : 248.67 = 143.90 : x
  2. Step 2: Convert to fraction form
    166.58/248.67 = 143.90/x
  3. Step 3: Cross multiply
    166.58x = 248.67 × 143.90
  4. Step 4: Simplify right side
    166.58x = 35,782.89
  5. Step 5: Solve for x
    x = 35,782.89/166.58
  6. Step 6: Final answer
    x = 214.81

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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.