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Finding the Fourth Proportional to 533.71, 801.26 and 361.15

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Solution

The fourth proportional to 533.71, 801.26 and 361.15 is: 542.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    533.71 : 801.26 = 361.15 : x
  2. Step 2: Convert to fraction form
    533.71/801.26 = 361.15/x
  3. Step 3: Cross multiply
    533.71x = 801.26 × 361.15
  4. Step 4: Simplify right side
    533.71x = 289,372.59
  5. Step 5: Solve for x
    x = 289,372.59/533.71
  6. Step 6: Final answer
    x = 542.19

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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.