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Finding the Fourth Proportional to 533.13, 734.99 and 356.10

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Solution

The fourth proportional to 533.13, 734.99 and 356.10 is: 490.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    533.13 : 734.99 = 356.10 : x
  2. Step 2: Convert to fraction form
    533.13/734.99 = 356.10/x
  3. Step 3: Cross multiply
    533.13x = 734.99 × 356.10
  4. Step 4: Simplify right side
    533.13x = 261,729.94
  5. Step 5: Solve for x
    x = 261,729.94/533.13
  6. Step 6: Final answer
    x = 490.93

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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.