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Finding the Fourth Proportional to 231.70, 319.54 and 157.99

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Solution

The fourth proportional to 231.70, 319.54 and 157.99 is: 217.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    231.70 : 319.54 = 157.99 : x
  2. Step 2: Convert to fraction form
    231.70/319.54 = 157.99/x
  3. Step 3: Cross multiply
    231.70x = 319.54 × 157.99
  4. Step 4: Simplify right side
    231.70x = 50,484.12
  5. Step 5: Solve for x
    x = 50,484.12/231.70
  6. Step 6: Final answer
    x = 217.89

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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.