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Finding the Fourth Proportional to 245.07, 367.62 and 216.51

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Solution

The fourth proportional to 245.07, 367.62 and 216.51 is: 324.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    245.07 : 367.62 = 216.51 : x
  2. Step 2: Convert to fraction form
    245.07/367.62 = 216.51/x
  3. Step 3: Cross multiply
    245.07x = 367.62 × 216.51
  4. Step 4: Simplify right side
    245.07x = 79,593.41
  5. Step 5: Solve for x
    x = 79,593.41/245.07
  6. Step 6: Final answer
    x = 324.78

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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.