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Finding the Fourth Proportional to 533.31, 736.23 and 356.58

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Solution

The fourth proportional to 533.31, 736.23 and 356.58 is: 492.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    533.31 : 736.23 = 356.58 : x
  2. Step 2: Convert to fraction form
    533.31/736.23 = 356.58/x
  3. Step 3: Cross multiply
    533.31x = 736.23 × 356.58
  4. Step 4: Simplify right side
    533.31x = 262,524.89
  5. Step 5: Solve for x
    x = 262,524.89/533.31
  6. Step 6: Final answer
    x = 492.26

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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.