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Finding the Fourth Proportional to 290.46, 400.41 and 257.67

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Solution

The fourth proportional to 290.46, 400.41 and 257.67 is: 355.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    290.46 : 400.41 = 257.67 : x
  2. Step 2: Convert to fraction form
    290.46/400.41 = 257.67/x
  3. Step 3: Cross multiply
    290.46x = 400.41 × 257.67
  4. Step 4: Simplify right side
    290.46x = 103,173.64
  5. Step 5: Solve for x
    x = 103,173.64/290.46
  6. Step 6: Final answer
    x = 355.21

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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.