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Finding the Fourth Proportional to 438.88, 605.74 and 264.28

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Solution

The fourth proportional to 438.88, 605.74 and 264.28 is: 364.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    438.88 : 605.74 = 264.28 : x
  2. Step 2: Convert to fraction form
    438.88/605.74 = 264.28/x
  3. Step 3: Cross multiply
    438.88x = 605.74 × 264.28
  4. Step 4: Simplify right side
    438.88x = 160,084.97
  5. Step 5: Solve for x
    x = 160,084.97/438.88
  6. Step 6: Final answer
    x = 364.76

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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.