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Finding the Fourth Proportional to 202.50, 304.02 and 166.86

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Solution

The fourth proportional to 202.50, 304.02 and 166.86 is: 250.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    202.50 : 304.02 = 166.86 : x
  2. Step 2: Convert to fraction form
    202.50/304.02 = 166.86/x
  3. Step 3: Cross multiply
    202.50x = 304.02 × 166.86
  4. Step 4: Simplify right side
    202.50x = 50,728.78
  5. Step 5: Solve for x
    x = 50,728.78/202.50
  6. Step 6: Final answer
    x = 250.51

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.