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Finding the Fourth Proportional to 231.42, 319.49 and 158.07

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Solution

The fourth proportional to 231.42, 319.49 and 158.07 is: 218.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    231.42 : 319.49 = 158.07 : x
  2. Step 2: Convert to fraction form
    231.42/319.49 = 158.07/x
  3. Step 3: Cross multiply
    231.42x = 319.49 × 158.07
  4. Step 4: Simplify right side
    231.42x = 50,501.78
  5. Step 5: Solve for x
    x = 50,501.78/231.42
  6. Step 6: Final answer
    x = 218.23

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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.