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Finding the Fourth Proportional to 166.02, 228.92 and 110.70

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Solution

The fourth proportional to 166.02, 228.92 and 110.70 is: 152.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    166.02 : 228.92 = 110.70 : x
  2. Step 2: Convert to fraction form
    166.02/228.92 = 110.70/x
  3. Step 3: Cross multiply
    166.02x = 228.92 × 110.70
  4. Step 4: Simplify right side
    166.02x = 25,341.44
  5. Step 5: Solve for x
    x = 25,341.44/166.02
  6. Step 6: Final answer
    x = 152.64

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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.