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Finding the Fourth Proportional to 290.70, 399 and 266.07

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Solution

The fourth proportional to 290.70, 399 and 266.07 is: 365.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    290.70 : 399 = 266.07 : x
  2. Step 2: Convert to fraction form
    290.70/399 = 266.07/x
  3. Step 3: Cross multiply
    290.70x = 399 × 266.07
  4. Step 4: Simplify right side
    290.70x = 106,161.93
  5. Step 5: Solve for x
    x = 106,161.93/290.70
  6. Step 6: Final answer
    x = 365.19

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.