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Finding the Fourth Proportional to 533.40, 736 and 336.68

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Solution

The fourth proportional to 533.40, 736 and 336.68 is: 464.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    533.40 : 736 = 336.68 : x
  2. Step 2: Convert to fraction form
    533.40/736 = 336.68/x
  3. Step 3: Cross multiply
    533.40x = 736 × 336.68
  4. Step 4: Simplify right side
    533.40x = 247,796.48
  5. Step 5: Solve for x
    x = 247,796.48/533.40
  6. Step 6: Final answer
    x = 464.56

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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.