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Finding the Fourth Proportional to 218.16, 325.62 and 214.38

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Solution

The fourth proportional to 218.16, 325.62 and 214.38 is: 319.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    218.16 : 325.62 = 214.38 : x
  2. Step 2: Convert to fraction form
    218.16/325.62 = 214.38/x
  3. Step 3: Cross multiply
    218.16x = 325.62 × 214.38
  4. Step 4: Simplify right side
    218.16x = 69,806.42
  5. Step 5: Solve for x
    x = 69,806.42/218.16
  6. Step 6: Final answer
    x = 319.98

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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.