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Finding the Fourth Proportional to 221.03, 304.80 and 146.30

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Solution

The fourth proportional to 221.03, 304.80 and 146.30 is: 201.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    221.03 : 304.80 = 146.30 : x
  2. Step 2: Convert to fraction form
    221.03/304.80 = 146.30/x
  3. Step 3: Cross multiply
    221.03x = 304.80 × 146.30
  4. Step 4: Simplify right side
    221.03x = 44,593.55
  5. Step 5: Solve for x
    x = 44,593.55/221.03
  6. Step 6: Final answer
    x = 201.76

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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.