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Finding the Fourth Proportional to 241.72, 361.04 and 215.98

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Solution

The fourth proportional to 241.72, 361.04 and 215.98 is: 322.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    241.72 : 361.04 = 215.98 : x
  2. Step 2: Convert to fraction form
    241.72/361.04 = 215.98/x
  3. Step 3: Cross multiply
    241.72x = 361.04 × 215.98
  4. Step 4: Simplify right side
    241.72x = 77,977.42
  5. Step 5: Solve for x
    x = 77,977.42/241.72
  6. Step 6: Final answer
    x = 322.59

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.