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Finding the Fourth Proportional to 221.12, 304.96 and 147.45

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Solution

The fourth proportional to 221.12, 304.96 and 147.45 is: 203.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    221.12 : 304.96 = 147.45 : x
  2. Step 2: Convert to fraction form
    221.12/304.96 = 147.45/x
  3. Step 3: Cross multiply
    221.12x = 304.96 × 147.45
  4. Step 4: Simplify right side
    221.12x = 44,966.35
  5. Step 5: Solve for x
    x = 44,966.35/221.12
  6. Step 6: Final answer
    x = 203.36

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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.