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Finding the Fourth Proportional to 500.52, 751.32 and 208.22

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Solution

The fourth proportional to 500.52, 751.32 and 208.22 is: 312.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    500.52 : 751.32 = 208.22 : x
  2. Step 2: Convert to fraction form
    500.52/751.32 = 208.22/x
  3. Step 3: Cross multiply
    500.52x = 751.32 × 208.22
  4. Step 4: Simplify right side
    500.52x = 156,439.85
  5. Step 5: Solve for x
    x = 156,439.85/500.52
  6. Step 6: Final answer
    x = 312.55

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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.