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Finding the Fourth Proportional to 466.68, 644.91 and 378

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Solution

The fourth proportional to 466.68, 644.91 and 378 is: 522.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    466.68 : 644.91 = 378 : x
  2. Step 2: Convert to fraction form
    466.68/644.91 = 378/x
  3. Step 3: Cross multiply
    466.68x = 644.91 × 378
  4. Step 4: Simplify right side
    466.68x = 243,775.98
  5. Step 5: Solve for x
    x = 243,775.98/466.68
  6. Step 6: Final answer
    x = 522.36

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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.