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Finding the Fourth Proportional to 166.02, 228.93 and 163.59

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Solution

The fourth proportional to 166.02, 228.93 and 163.59 is: 225.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    166.02 : 228.93 = 163.59 : x
  2. Step 2: Convert to fraction form
    166.02/228.93 = 163.59/x
  3. Step 3: Cross multiply
    166.02x = 228.93 × 163.59
  4. Step 4: Simplify right side
    166.02x = 37,450.66
  5. Step 5: Solve for x
    x = 37,450.66/166.02
  6. Step 6: Final answer
    x = 225.58

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.