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Finding the Fourth Proportional to 361.01, 497.98 and 221.19

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Solution

The fourth proportional to 361.01, 497.98 and 221.19 is: 305.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    361.01 : 497.98 = 221.19 : x
  2. Step 2: Convert to fraction form
    361.01/497.98 = 221.19/x
  3. Step 3: Cross multiply
    361.01x = 497.98 × 221.19
  4. Step 4: Simplify right side
    361.01x = 110,148.20
  5. Step 5: Solve for x
    x = 110,148.20/361.01
  6. Step 6: Final answer
    x = 305.11

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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.