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Finding the Fourth Proportional to 354.78, 531.49 and 208.22

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Solution

The fourth proportional to 354.78, 531.49 and 208.22 is: 311.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    354.78 : 531.49 = 208.22 : x
  2. Step 2: Convert to fraction form
    354.78/531.49 = 208.22/x
  3. Step 3: Cross multiply
    354.78x = 531.49 × 208.22
  4. Step 4: Simplify right side
    354.78x = 110,666.46
  5. Step 5: Solve for x
    x = 110,666.46/354.78
  6. Step 6: Final answer
    x = 311.93

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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.