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Finding the Fourth Proportional to 438.06, 605.48 and 385.21

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Solution

The fourth proportional to 438.06, 605.48 and 385.21 is: 532.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    438.06 : 605.48 = 385.21 : x
  2. Step 2: Convert to fraction form
    438.06/605.48 = 385.21/x
  3. Step 3: Cross multiply
    438.06x = 605.48 × 385.21
  4. Step 4: Simplify right side
    438.06x = 233,236.95
  5. Step 5: Solve for x
    x = 233,236.95/438.06
  6. Step 6: Final answer
    x = 532.43

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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.