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Finding the Fourth Proportional to 533.15, 736.09 and 365.39

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Solution

The fourth proportional to 533.15, 736.09 and 365.39 is: 504.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    533.15 : 736.09 = 365.39 : x
  2. Step 2: Convert to fraction form
    533.15/736.09 = 365.39/x
  3. Step 3: Cross multiply
    533.15x = 736.09 × 365.39
  4. Step 4: Simplify right side
    533.15x = 268,954.42
  5. Step 5: Solve for x
    x = 268,954.42/533.15
  6. Step 6: Final answer
    x = 504.46

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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.