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Finding the Fourth Proportional to 533.91, 736.32 and 357.06

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Solution

The fourth proportional to 533.91, 736.32 and 357.06 is: 492.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    533.91 : 736.32 = 357.06 : x
  2. Step 2: Convert to fraction form
    533.91/736.32 = 357.06/x
  3. Step 3: Cross multiply
    533.91x = 736.32 × 357.06
  4. Step 4: Simplify right side
    533.91x = 262,910.42
  5. Step 5: Solve for x
    x = 262,910.42/533.91
  6. Step 6: Final answer
    x = 492.42

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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.