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Finding the Fourth Proportional to 218.86, 302.03 and 134.81

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Solution

The fourth proportional to 218.86, 302.03 and 134.81 is: 186.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    218.86 : 302.03 = 134.81 : x
  2. Step 2: Convert to fraction form
    218.86/302.03 = 134.81/x
  3. Step 3: Cross multiply
    218.86x = 302.03 × 134.81
  4. Step 4: Simplify right side
    218.86x = 40,716.66
  5. Step 5: Solve for x
    x = 40,716.66/218.86
  6. Step 6: Final answer
    x = 186.04

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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.