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Finding the Fourth Proportional to 217.14, 298.04 and 192.16

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Solution

The fourth proportional to 217.14, 298.04 and 192.16 is: 263.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    217.14 : 298.04 = 192.16 : x
  2. Step 2: Convert to fraction form
    217.14/298.04 = 192.16/x
  3. Step 3: Cross multiply
    217.14x = 298.04 × 192.16
  4. Step 4: Simplify right side
    217.14x = 57,271.37
  5. Step 5: Solve for x
    x = 57,271.37/217.14
  6. Step 6: Final answer
    x = 263.75

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.