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Finding the Fourth Proportional to 533.96, 801.66 and 360.08

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Solution

The fourth proportional to 533.96, 801.66 and 360.08 is: 540.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    533.96 : 801.66 = 360.08 : x
  2. Step 2: Convert to fraction form
    533.96/801.66 = 360.08/x
  3. Step 3: Cross multiply
    533.96x = 801.66 × 360.08
  4. Step 4: Simplify right side
    533.96x = 288,661.73
  5. Step 5: Solve for x
    x = 288,661.73/533.96
  6. Step 6: Final answer
    x = 540.61

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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.