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Finding the Fourth Proportional to 231.40, 319.30 and 142.86

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Solution

The fourth proportional to 231.40, 319.30 and 142.86 is: 197.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    231.40 : 319.30 = 142.86 : x
  2. Step 2: Convert to fraction form
    231.40/319.30 = 142.86/x
  3. Step 3: Cross multiply
    231.40x = 319.30 × 142.86
  4. Step 4: Simplify right side
    231.40x = 45,615.20
  5. Step 5: Solve for x
    x = 45,615.20/231.40
  6. Step 6: Final answer
    x = 197.13

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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.