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Finding the Fourth Proportional to 218.07, 298.99 and 214.17

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Solution

The fourth proportional to 218.07, 298.99 and 214.17 is: 293.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    218.07 : 298.99 = 214.17 : x
  2. Step 2: Convert to fraction form
    218.07/298.99 = 214.17/x
  3. Step 3: Cross multiply
    218.07x = 298.99 × 214.17
  4. Step 4: Simplify right side
    218.07x = 64,033.62
  5. Step 5: Solve for x
    x = 64,033.62/218.07
  6. Step 6: Final answer
    x = 293.64

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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.