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Finding the Fourth Proportional to 217.37, 321.50 and 217.37

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Solution

The fourth proportional to 217.37, 321.50 and 217.37 is: 321.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    217.37 : 321.50 = 217.37 : x
  2. Step 2: Convert to fraction form
    217.37/321.50 = 217.37/x
  3. Step 3: Cross multiply
    217.37x = 321.50 × 217.37
  4. Step 4: Simplify right side
    217.37x = 69,881.76
  5. Step 5: Solve for x
    x = 69,881.76/217.37
  6. Step 6: Final answer
    x = 321.50

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Why These Related Problems?

These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.