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Finding the Fourth Proportional to 218.42, 301.43 and 118.84

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Solution

The fourth proportional to 218.42, 301.43 and 118.84 is: 164.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    218.42 : 301.43 = 118.84 : x
  2. Step 2: Convert to fraction form
    218.42/301.43 = 118.84/x
  3. Step 3: Cross multiply
    218.42x = 301.43 × 118.84
  4. Step 4: Simplify right side
    218.42x = 35,822.06
  5. Step 5: Solve for x
    x = 35,822.06/218.42
  6. Step 6: Final answer
    x = 164.01

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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.