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Finding the Fourth Proportional to 166.02, 228.95 and 106.90

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Solution

The fourth proportional to 166.02, 228.95 and 106.90 is: 147.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    166.02 : 228.95 = 106.90 : x
  2. Step 2: Convert to fraction form
    166.02/228.95 = 106.90/x
  3. Step 3: Cross multiply
    166.02x = 228.95 × 106.90
  4. Step 4: Simplify right side
    166.02x = 24,474.76
  5. Step 5: Solve for x
    x = 24,474.76/166.02
  6. Step 6: Final answer
    x = 147.42

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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.