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Finding the Fourth Proportional to 234.60, 324.50 and 208.77

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Solution

The fourth proportional to 234.60, 324.50 and 208.77 is: 288.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    234.60 : 324.50 = 208.77 : x
  2. Step 2: Convert to fraction form
    234.60/324.50 = 208.77/x
  3. Step 3: Cross multiply
    234.60x = 324.50 × 208.77
  4. Step 4: Simplify right side
    234.60x = 67,744.82
  5. Step 5: Solve for x
    x = 67,744.82/234.60
  6. Step 6: Final answer
    x = 288.77

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.