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Finding the Fourth Proportional to 428.11, 644.50 and 292.01

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Solution

The fourth proportional to 428.11, 644.50 and 292.01 is: 439.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    428.11 : 644.50 = 292.01 : x
  2. Step 2: Convert to fraction form
    428.11/644.50 = 292.01/x
  3. Step 3: Cross multiply
    428.11x = 644.50 × 292.01
  4. Step 4: Simplify right side
    428.11x = 188,202.20
  5. Step 5: Solve for x
    x = 188,202.20/428.11
  6. Step 6: Final answer
    x = 439.61

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.