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Finding the Fourth Proportional to 216.24, 325.57 and 190.72

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Solution

The fourth proportional to 216.24, 325.57 and 190.72 is: 287.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    216.24 : 325.57 = 190.72 : x
  2. Step 2: Convert to fraction form
    216.24/325.57 = 190.72/x
  3. Step 3: Cross multiply
    216.24x = 325.57 × 190.72
  4. Step 4: Simplify right side
    216.24x = 62,092.71
  5. Step 5: Solve for x
    x = 62,092.71/216.24
  6. Step 6: Final answer
    x = 287.15

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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.