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Finding the Fourth Proportional to 421.94, 634.13 and 205.67

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Solution

The fourth proportional to 421.94, 634.13 and 205.67 is: 309.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    421.94 : 634.13 = 205.67 : x
  2. Step 2: Convert to fraction form
    421.94/634.13 = 205.67/x
  3. Step 3: Cross multiply
    421.94x = 634.13 × 205.67
  4. Step 4: Simplify right side
    421.94x = 130,417.32
  5. Step 5: Solve for x
    x = 130,417.32/421.94
  6. Step 6: Final answer
    x = 309.09

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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.