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Finding the Fourth Proportional to 290.90, 438.49 and 274.17

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Solution

The fourth proportional to 290.90, 438.49 and 274.17 is: 413.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    290.90 : 438.49 = 274.17 : x
  2. Step 2: Convert to fraction form
    290.90/438.49 = 274.17/x
  3. Step 3: Cross multiply
    290.90x = 438.49 × 274.17
  4. Step 4: Simplify right side
    290.90x = 120,220.80
  5. Step 5: Solve for x
    x = 120,220.80/290.90
  6. Step 6: Final answer
    x = 413.27

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.