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Finding the Fourth Proportional to 467.21, 644.15 and 392.81

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Solution

The fourth proportional to 467.21, 644.15 and 392.81 is: 541.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    467.21 : 644.15 = 392.81 : x
  2. Step 2: Convert to fraction form
    467.21/644.15 = 392.81/x
  3. Step 3: Cross multiply
    467.21x = 644.15 × 392.81
  4. Step 4: Simplify right side
    467.21x = 253,023.38
  5. Step 5: Solve for x
    x = 253,023.38/467.21
  6. Step 6: Final answer
    x = 541.57

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.