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Finding the Fourth Proportional to 290.44, 433.50 and 270.12

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Solution

The fourth proportional to 290.44, 433.50 and 270.12 is: 403.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    290.44 : 433.50 = 270.12 : x
  2. Step 2: Convert to fraction form
    290.44/433.50 = 270.12/x
  3. Step 3: Cross multiply
    290.44x = 433.50 × 270.12
  4. Step 4: Simplify right side
    290.44x = 117,096.71
  5. Step 5: Solve for x
    x = 117,096.71/290.44
  6. Step 6: Final answer
    x = 403.18

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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.