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Finding the Fourth Proportional to 428.01, 644.36 and 291.92

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Solution

The fourth proportional to 428.01, 644.36 and 291.92 is: 439.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    428.01 : 644.36 = 291.92 : x
  2. Step 2: Convert to fraction form
    428.01/644.36 = 291.92/x
  3. Step 3: Cross multiply
    428.01x = 644.36 × 291.92
  4. Step 4: Simplify right side
    428.01x = 188,102.82
  5. Step 5: Solve for x
    x = 188,102.82/428.01
  6. Step 6: Final answer
    x = 439.48

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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.