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Finding the Fourth Proportional to 466.52, 644.04 and 291.96

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Solution

The fourth proportional to 466.52, 644.04 and 291.96 is: 403.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    466.52 : 644.04 = 291.96 : x
  2. Step 2: Convert to fraction form
    466.52/644.04 = 291.96/x
  3. Step 3: Cross multiply
    466.52x = 644.04 × 291.96
  4. Step 4: Simplify right side
    466.52x = 188,033.92
  5. Step 5: Solve for x
    x = 188,033.92/466.52
  6. Step 6: Final answer
    x = 403.06

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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.