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Finding the Fourth Proportional to 290.54, 398.51 and 274.88

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Solution

The fourth proportional to 290.54, 398.51 and 274.88 is: 377.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    290.54 : 398.51 = 274.88 : x
  2. Step 2: Convert to fraction form
    290.54/398.51 = 274.88/x
  3. Step 3: Cross multiply
    290.54x = 398.51 × 274.88
  4. Step 4: Simplify right side
    290.54x = 109,539.06
  5. Step 5: Solve for x
    x = 109,539.06/290.54
  6. Step 6: Final answer
    x = 377.03

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.