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Finding the Fourth Proportional to 231.62, 319.83 and 193.01

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Solution

The fourth proportional to 231.62, 319.83 and 193.01 is: 266.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    231.62 : 319.83 = 193.01 : x
  2. Step 2: Convert to fraction form
    231.62/319.83 = 193.01/x
  3. Step 3: Cross multiply
    231.62x = 319.83 × 193.01
  4. Step 4: Simplify right side
    231.62x = 61,730.39
  5. Step 5: Solve for x
    x = 61,730.39/231.62
  6. Step 6: Final answer
    x = 266.52

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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.