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Finding the Fourth Proportional to 533.08, 799.52 and 186.40

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Solution

The fourth proportional to 533.08, 799.52 and 186.40 is: 279.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    533.08 : 799.52 = 186.40 : x
  2. Step 2: Convert to fraction form
    533.08/799.52 = 186.40/x
  3. Step 3: Cross multiply
    533.08x = 799.52 × 186.40
  4. Step 4: Simplify right side
    533.08x = 149,031.64
  5. Step 5: Solve for x
    x = 149,031.64/533.08
  6. Step 6: Final answer
    x = 279.57

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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.