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Finding the Fourth Proportional to 290.30, 400.14 and 266.46

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Solution

The fourth proportional to 290.30, 400.14 and 266.46 is: 367.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    290.30 : 400.14 = 266.46 : x
  2. Step 2: Convert to fraction form
    290.30/400.14 = 266.46/x
  3. Step 3: Cross multiply
    290.30x = 400.14 × 266.46
  4. Step 4: Simplify right side
    290.30x = 106,619.80
  5. Step 5: Solve for x
    x = 106,619.80/290.30
  6. Step 6: Final answer
    x = 367.28

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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.