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Finding the Fourth Proportional to 241.03, 361.47 and 96.71

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Solution

The fourth proportional to 241.03, 361.47 and 96.71 is: 145.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    241.03 : 361.47 = 96.71 : x
  2. Step 2: Convert to fraction form
    241.03/361.47 = 96.71/x
  3. Step 3: Cross multiply
    241.03x = 361.47 × 96.71
  4. Step 4: Simplify right side
    241.03x = 34,957.76
  5. Step 5: Solve for x
    x = 34,957.76/241.03
  6. Step 6: Final answer
    x = 145.04

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.