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Finding the Fourth Proportional to 466.57, 644.05 and 300.99

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Solution

The fourth proportional to 466.57, 644.05 and 300.99 is: 415.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    466.57 : 644.05 = 300.99 : x
  2. Step 2: Convert to fraction form
    466.57/644.05 = 300.99/x
  3. Step 3: Cross multiply
    466.57x = 644.05 × 300.99
  4. Step 4: Simplify right side
    466.57x = 193,852.61
  5. Step 5: Solve for x
    x = 193,852.61/466.57
  6. Step 6: Final answer
    x = 415.48

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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.