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Finding the Fourth Proportional to 290.78, 437.90 and 262.22

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Solution

The fourth proportional to 290.78, 437.90 and 262.22 is: 394.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    290.78 : 437.90 = 262.22 : x
  2. Step 2: Convert to fraction form
    290.78/437.90 = 262.22/x
  3. Step 3: Cross multiply
    290.78x = 437.90 × 262.22
  4. Step 4: Simplify right side
    290.78x = 114,826.14
  5. Step 5: Solve for x
    x = 114,826.14/290.78
  6. Step 6: Final answer
    x = 394.89

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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.