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Finding the Fourth Proportional to 290.12, 433.40 and 285.26

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Solution

The fourth proportional to 290.12, 433.40 and 285.26 is: 426.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    290.12 : 433.40 = 285.26 : x
  2. Step 2: Convert to fraction form
    290.12/433.40 = 285.26/x
  3. Step 3: Cross multiply
    290.12x = 433.40 × 285.26
  4. Step 4: Simplify right side
    290.12x = 123,631.68
  5. Step 5: Solve for x
    x = 123,631.68/290.12
  6. Step 6: Final answer
    x = 426.14

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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.