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Finding the Fourth Proportional to 228.12, 343.86 and 216.24

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Solution

The fourth proportional to 228.12, 343.86 and 216.24 is: 325.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    228.12 : 343.86 = 216.24 : x
  2. Step 2: Convert to fraction form
    228.12/343.86 = 216.24/x
  3. Step 3: Cross multiply
    228.12x = 343.86 × 216.24
  4. Step 4: Simplify right side
    228.12x = 74,356.29
  5. Step 5: Solve for x
    x = 74,356.29/228.12
  6. Step 6: Final answer
    x = 325.95

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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.