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Finding the Fourth Proportional to 533.65, 800.19 and 204.54

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Solution

The fourth proportional to 533.65, 800.19 and 204.54 is: 306.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    533.65 : 800.19 = 204.54 : x
  2. Step 2: Convert to fraction form
    533.65/800.19 = 204.54/x
  3. Step 3: Cross multiply
    533.65x = 800.19 × 204.54
  4. Step 4: Simplify right side
    533.65x = 163,670.86
  5. Step 5: Solve for x
    x = 163,670.86/533.65
  6. Step 6: Final answer
    x = 306.70

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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.