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Finding the Fourth Proportional to 166.98, 251.37 and 152.10

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Solution

The fourth proportional to 166.98, 251.37 and 152.10 is: 228.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    166.98 : 251.37 = 152.10 : x
  2. Step 2: Convert to fraction form
    166.98/251.37 = 152.10/x
  3. Step 3: Cross multiply
    166.98x = 251.37 × 152.10
  4. Step 4: Simplify right side
    166.98x = 38,233.38
  5. Step 5: Solve for x
    x = 38,233.38/166.98
  6. Step 6: Final answer
    x = 228.97

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.