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Finding the Fourth Proportional to 290.18, 435.58 and 273.78

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Solution

The fourth proportional to 290.18, 435.58 and 273.78 is: 410.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    290.18 : 435.58 = 273.78 : x
  2. Step 2: Convert to fraction form
    290.18/435.58 = 273.78/x
  3. Step 3: Cross multiply
    290.18x = 435.58 × 273.78
  4. Step 4: Simplify right side
    290.18x = 119,252.41
  5. Step 5: Solve for x
    x = 119,252.41/290.18
  6. Step 6: Final answer
    x = 410.96

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.