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Finding the Fourth Proportional to 218.67, 302.38 and 184.12

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Solution

The fourth proportional to 218.67, 302.38 and 184.12 is: 254.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    218.67 : 302.38 = 184.12 : x
  2. Step 2: Convert to fraction form
    218.67/302.38 = 184.12/x
  3. Step 3: Cross multiply
    218.67x = 302.38 × 184.12
  4. Step 4: Simplify right side
    218.67x = 55,672.99
  5. Step 5: Solve for x
    x = 55,672.99/218.67
  6. Step 6: Final answer
    x = 254.60

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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.