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Finding the Fourth Proportional to 166.46, 228.46 and 152.56

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Solution

The fourth proportional to 166.46, 228.46 and 152.56 is: 209.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    166.46 : 228.46 = 152.56 : x
  2. Step 2: Convert to fraction form
    166.46/228.46 = 152.56/x
  3. Step 3: Cross multiply
    166.46x = 228.46 × 152.56
  4. Step 4: Simplify right side
    166.46x = 34,853.86
  5. Step 5: Solve for x
    x = 34,853.86/166.46
  6. Step 6: Final answer
    x = 209.38

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.