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Finding the Fourth Proportional to 230.85, 317.01 and 193.94

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Solution

The fourth proportional to 230.85, 317.01 and 193.94 is: 266.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    230.85 : 317.01 = 193.94 : x
  2. Step 2: Convert to fraction form
    230.85/317.01 = 193.94/x
  3. Step 3: Cross multiply
    230.85x = 317.01 × 193.94
  4. Step 4: Simplify right side
    230.85x = 61,483.03
  5. Step 5: Solve for x
    x = 61,483.03/230.85
  6. Step 6: Final answer
    x = 266.33

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.