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Finding the Fourth Proportional to 533.64, 800.19 and 208.86

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Solution

The fourth proportional to 533.64, 800.19 and 208.86 is: 313.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    533.64 : 800.19 = 208.86 : x
  2. Step 2: Convert to fraction form
    533.64/800.19 = 208.86/x
  3. Step 3: Cross multiply
    533.64x = 800.19 × 208.86
  4. Step 4: Simplify right side
    533.64x = 167,127.68
  5. Step 5: Solve for x
    x = 167,127.68/533.64
  6. Step 6: Final answer
    x = 313.18

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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.