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Finding the Fourth Proportional to 388.23, 581.40 and 241.62

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Solution

The fourth proportional to 388.23, 581.40 and 241.62 is: 361.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    388.23 : 581.40 = 241.62 : x
  2. Step 2: Convert to fraction form
    388.23/581.40 = 241.62/x
  3. Step 3: Cross multiply
    388.23x = 581.40 × 241.62
  4. Step 4: Simplify right side
    388.23x = 140,477.87
  5. Step 5: Solve for x
    x = 140,477.87/388.23
  6. Step 6: Final answer
    x = 361.84

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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.