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Finding the Fourth Proportional to 533.10, 798.36 and 378.30

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Solution

The fourth proportional to 533.10, 798.36 and 378.30 is: 566.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    533.10 : 798.36 = 378.30 : x
  2. Step 2: Convert to fraction form
    533.10/798.36 = 378.30/x
  3. Step 3: Cross multiply
    533.10x = 798.36 × 378.30
  4. Step 4: Simplify right side
    533.10x = 302,021.16
  5. Step 5: Solve for x
    x = 302,021.16/533.10
  6. Step 6: Final answer
    x = 566.54

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.