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Finding the Fourth Proportional to 225.42, 311 and 138.02

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Solution

The fourth proportional to 225.42, 311 and 138.02 is: 190.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    225.42 : 311 = 138.02 : x
  2. Step 2: Convert to fraction form
    225.42/311 = 138.02/x
  3. Step 3: Cross multiply
    225.42x = 311 × 138.02
  4. Step 4: Simplify right side
    225.42x = 42,924.22
  5. Step 5: Solve for x
    x = 42,924.22/225.42
  6. Step 6: Final answer
    x = 190.42

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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.