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Finding the Fourth Proportional to 221.16, 304.74 and 147.27

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Solution

The fourth proportional to 221.16, 304.74 and 147.27 is: 202.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    221.16 : 304.74 = 147.27 : x
  2. Step 2: Convert to fraction form
    221.16/304.74 = 147.27/x
  3. Step 3: Cross multiply
    221.16x = 304.74 × 147.27
  4. Step 4: Simplify right side
    221.16x = 44,879.06
  5. Step 5: Solve for x
    x = 44,879.06/221.16
  6. Step 6: Final answer
    x = 202.93

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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.