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Finding the Fourth Proportional to 533.08, 735.21 and 311.82

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Solution

The fourth proportional to 533.08, 735.21 and 311.82 is: 430.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    533.08 : 735.21 = 311.82 : x
  2. Step 2: Convert to fraction form
    533.08/735.21 = 311.82/x
  3. Step 3: Cross multiply
    533.08x = 735.21 × 311.82
  4. Step 4: Simplify right side
    533.08x = 229,251.32
  5. Step 5: Solve for x
    x = 229,251.32/533.08
  6. Step 6: Final answer
    x = 430.05

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.