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Finding the Fourth Proportional to 283.77, 424.77 and 196.67

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Solution

The fourth proportional to 283.77, 424.77 and 196.67 is: 294.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    283.77 : 424.77 = 196.67 : x
  2. Step 2: Convert to fraction form
    283.77/424.77 = 196.67/x
  3. Step 3: Cross multiply
    283.77x = 424.77 × 196.67
  4. Step 4: Simplify right side
    283.77x = 83,536.65
  5. Step 5: Solve for x
    x = 83,536.65/283.77
  6. Step 6: Final answer
    x = 294.38

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.