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Finding the Fourth Proportional to 533.77, 800.31 and 209.17

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Solution

The fourth proportional to 533.77, 800.31 and 209.17 is: 313.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    533.77 : 800.31 = 209.17 : x
  2. Step 2: Convert to fraction form
    533.77/800.31 = 209.17/x
  3. Step 3: Cross multiply
    533.77x = 800.31 × 209.17
  4. Step 4: Simplify right side
    533.77x = 167,400.84
  5. Step 5: Solve for x
    x = 167,400.84/533.77
  6. Step 6: Final answer
    x = 313.62

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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.