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Finding the Fourth Proportional to 290.40, 437.74 and 273.67

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Solution

The fourth proportional to 290.40, 437.74 and 273.67 is: 412.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    290.40 : 437.74 = 273.67 : x
  2. Step 2: Convert to fraction form
    290.40/437.74 = 273.67/x
  3. Step 3: Cross multiply
    290.40x = 437.74 × 273.67
  4. Step 4: Simplify right side
    290.40x = 119,794.94
  5. Step 5: Solve for x
    x = 119,794.94/290.40
  6. Step 6: Final answer
    x = 412.52

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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.