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Finding the Fourth Proportional to 245.53, 369.66 and 216.81

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Solution

The fourth proportional to 245.53, 369.66 and 216.81 is: 326.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    245.53 : 369.66 = 216.81 : x
  2. Step 2: Convert to fraction form
    245.53/369.66 = 216.81/x
  3. Step 3: Cross multiply
    245.53x = 369.66 × 216.81
  4. Step 4: Simplify right side
    245.53x = 80,146.80
  5. Step 5: Solve for x
    x = 80,146.80/245.53
  6. Step 6: Final answer
    x = 326.42

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.