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Finding the Fourth Proportional to 231.43, 319.21 and 156.78

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Solution

The fourth proportional to 231.43, 319.21 and 156.78 is: 216.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    231.43 : 319.21 = 156.78 : x
  2. Step 2: Convert to fraction form
    231.43/319.21 = 156.78/x
  3. Step 3: Cross multiply
    231.43x = 319.21 × 156.78
  4. Step 4: Simplify right side
    231.43x = 50,045.74
  5. Step 5: Solve for x
    x = 50,045.74/231.43
  6. Step 6: Final answer
    x = 216.25

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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.