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Finding the Fourth Proportional to 290.00, 400.57 and 262.37

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Solution

The fourth proportional to 290.00, 400.57 and 262.37 is: 362.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    290.00 : 400.57 = 262.37 : x
  2. Step 2: Convert to fraction form
    290.00/400.57 = 262.37/x
  3. Step 3: Cross multiply
    290.00x = 400.57 × 262.37
  4. Step 4: Simplify right side
    290.00x = 105,097.90
  5. Step 5: Solve for x
    x = 105,097.90/290.00
  6. Step 6: Final answer
    x = 362.40

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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.