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Finding the Fourth Proportional to 231.93, 346.21 and 193.05

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Solution

The fourth proportional to 231.93, 346.21 and 193.05 is: 288.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    231.93 : 346.21 = 193.05 : x
  2. Step 2: Convert to fraction form
    231.93/346.21 = 193.05/x
  3. Step 3: Cross multiply
    231.93x = 346.21 × 193.05
  4. Step 4: Simplify right side
    231.93x = 66,835.36
  5. Step 5: Solve for x
    x = 66,835.36/231.93
  6. Step 6: Final answer
    x = 288.17

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.