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Finding the Fourth Proportional to 533.78, 800.53 and 209.15

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Solution

The fourth proportional to 533.78, 800.53 and 209.15 is: 313.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    533.78 : 800.53 = 209.15 : x
  2. Step 2: Convert to fraction form
    533.78/800.53 = 209.15/x
  3. Step 3: Cross multiply
    533.78x = 800.53 × 209.15
  4. Step 4: Simplify right side
    533.78x = 167,426.32
  5. Step 5: Solve for x
    x = 167,426.32/533.78
  6. Step 6: Final answer
    x = 313.66

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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.