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Finding the Fourth Proportional to 438.33, 605.76 and 359.52

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Solution

The fourth proportional to 438.33, 605.76 and 359.52 is: 496.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    438.33 : 605.76 = 359.52 : x
  2. Step 2: Convert to fraction form
    438.33/605.76 = 359.52/x
  3. Step 3: Cross multiply
    438.33x = 605.76 × 359.52
  4. Step 4: Simplify right side
    438.33x = 217,782.84
  5. Step 5: Solve for x
    x = 217,782.84/438.33
  6. Step 6: Final answer
    x = 496.85

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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.