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Finding the Fourth Proportional to 435.91, 654.15 and 204.67

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Solution

The fourth proportional to 435.91, 654.15 and 204.67 is: 307.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    435.91 : 654.15 = 204.67 : x
  2. Step 2: Convert to fraction form
    435.91/654.15 = 204.67/x
  3. Step 3: Cross multiply
    435.91x = 654.15 × 204.67
  4. Step 4: Simplify right side
    435.91x = 133,884.88
  5. Step 5: Solve for x
    x = 133,884.88/435.91
  6. Step 6: Final answer
    x = 307.14

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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.