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Finding the Fourth Proportional to 216.45, 325.26 and 190.98

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Solution

The fourth proportional to 216.45, 325.26 and 190.98 is: 286.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    216.45 : 325.26 = 190.98 : x
  2. Step 2: Convert to fraction form
    216.45/325.26 = 190.98/x
  3. Step 3: Cross multiply
    216.45x = 325.26 × 190.98
  4. Step 4: Simplify right side
    216.45x = 62,118.15
  5. Step 5: Solve for x
    x = 62,118.15/216.45
  6. Step 6: Final answer
    x = 286.99

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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.