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Finding the Fourth Proportional to 217.60, 324.65 and 183.58

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Solution

The fourth proportional to 217.60, 324.65 and 183.58 is: 273.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    217.60 : 324.65 = 183.58 : x
  2. Step 2: Convert to fraction form
    217.60/324.65 = 183.58/x
  3. Step 3: Cross multiply
    217.60x = 324.65 × 183.58
  4. Step 4: Simplify right side
    217.60x = 59,599.25
  5. Step 5: Solve for x
    x = 59,599.25/217.60
  6. Step 6: Final answer
    x = 273.89

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.