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Finding the Fourth Proportional to 290.50, 433.67 and 280.37

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Solution

The fourth proportional to 290.50, 433.67 and 280.37 is: 418.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    290.50 : 433.67 = 280.37 : x
  2. Step 2: Convert to fraction form
    290.50/433.67 = 280.37/x
  3. Step 3: Cross multiply
    290.50x = 433.67 × 280.37
  4. Step 4: Simplify right side
    290.50x = 121,586.66
  5. Step 5: Solve for x
    x = 121,586.66/290.50
  6. Step 6: Final answer
    x = 418.55

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.