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Finding the Fourth Proportional to 221.81, 305.98 and 148.13

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Solution

The fourth proportional to 221.81, 305.98 and 148.13 is: 204.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    221.81 : 305.98 = 148.13 : x
  2. Step 2: Convert to fraction form
    221.81/305.98 = 148.13/x
  3. Step 3: Cross multiply
    221.81x = 305.98 × 148.13
  4. Step 4: Simplify right side
    221.81x = 45,324.06
  5. Step 5: Solve for x
    x = 45,324.06/221.81
  6. Step 6: Final answer
    x = 204.34

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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.