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Finding the Fourth Proportional to 230.57, 317.85 and 193.67

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Solution

The fourth proportional to 230.57, 317.85 and 193.67 is: 266.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    230.57 : 317.85 = 193.67 : x
  2. Step 2: Convert to fraction form
    230.57/317.85 = 193.67/x
  3. Step 3: Cross multiply
    230.57x = 317.85 × 193.67
  4. Step 4: Simplify right side
    230.57x = 61,556.42
  5. Step 5: Solve for x
    x = 61,556.42/230.57
  6. Step 6: Final answer
    x = 266.98

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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.