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Finding the Fourth Proportional to 290.09, 399.91 and 207.06

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Solution

The fourth proportional to 290.09, 399.91 and 207.06 is: 285.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    290.09 : 399.91 = 207.06 : x
  2. Step 2: Convert to fraction form
    290.09/399.91 = 207.06/x
  3. Step 3: Cross multiply
    290.09x = 399.91 × 207.06
  4. Step 4: Simplify right side
    290.09x = 82,804.33
  5. Step 5: Solve for x
    x = 82,804.33/290.09
  6. Step 6: Final answer
    x = 285.45

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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.