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Finding the Fourth Proportional to 438.98, 605.36 and 334.07

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Solution

The fourth proportional to 438.98, 605.36 and 334.07 is: 460.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    438.98 : 605.36 = 334.07 : x
  2. Step 2: Convert to fraction form
    438.98/605.36 = 334.07/x
  3. Step 3: Cross multiply
    438.98x = 605.36 × 334.07
  4. Step 4: Simplify right side
    438.98x = 202,227.92
  5. Step 5: Solve for x
    x = 202,227.92/438.98
  6. Step 6: Final answer
    x = 460.68

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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.