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Finding the Fourth Proportional to 218.53, 325.04 and 199.05

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Solution

The fourth proportional to 218.53, 325.04 and 199.05 is: 296.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    218.53 : 325.04 = 199.05 : x
  2. Step 2: Convert to fraction form
    218.53/325.04 = 199.05/x
  3. Step 3: Cross multiply
    218.53x = 325.04 × 199.05
  4. Step 4: Simplify right side
    218.53x = 64,699.21
  5. Step 5: Solve for x
    x = 64,699.21/218.53
  6. Step 6: Final answer
    x = 296.07

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.