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Finding the Fourth Proportional to 217.16, 299.68 and 118.92

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Solution

The fourth proportional to 217.16, 299.68 and 118.92 is: 164.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    217.16 : 299.68 = 118.92 : x
  2. Step 2: Convert to fraction form
    217.16/299.68 = 118.92/x
  3. Step 3: Cross multiply
    217.16x = 299.68 × 118.92
  4. Step 4: Simplify right side
    217.16x = 35,637.76
  5. Step 5: Solve for x
    x = 35,637.76/217.16
  6. Step 6: Final answer
    x = 164.10

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.