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Finding the Fourth Proportional to 499.94, 690.07 and 290.22

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Solution

The fourth proportional to 499.94, 690.07 and 290.22 is: 400.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    499.94 : 690.07 = 290.22 : x
  2. Step 2: Convert to fraction form
    499.94/690.07 = 290.22/x
  3. Step 3: Cross multiply
    499.94x = 690.07 × 290.22
  4. Step 4: Simplify right side
    499.94x = 200,268.67
  5. Step 5: Solve for x
    x = 200,268.67/499.94
  6. Step 6: Final answer
    x = 400.59

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.