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Finding the Fourth Proportional to 550.58, 826.12 and 208.50

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Solution

The fourth proportional to 550.58, 826.12 and 208.50 is: 312.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    550.58 : 826.12 = 208.50 : x
  2. Step 2: Convert to fraction form
    550.58/826.12 = 208.50/x
  3. Step 3: Cross multiply
    550.58x = 826.12 × 208.50
  4. Step 4: Simplify right side
    550.58x = 172,246.02
  5. Step 5: Solve for x
    x = 172,246.02/550.58
  6. Step 6: Final answer
    x = 312.84

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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.