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Finding the Fourth Proportional to 290.06, 435.37 and 187.41

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Solution

The fourth proportional to 290.06, 435.37 and 187.41 is: 281.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    290.06 : 435.37 = 187.41 : x
  2. Step 2: Convert to fraction form
    290.06/435.37 = 187.41/x
  3. Step 3: Cross multiply
    290.06x = 435.37 × 187.41
  4. Step 4: Simplify right side
    290.06x = 81,593.49
  5. Step 5: Solve for x
    x = 81,593.49/290.06
  6. Step 6: Final answer
    x = 281.30

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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.