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Finding the Fourth Proportional to 290.90, 438.38 and 262.04

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Solution

The fourth proportional to 290.90, 438.38 and 262.04 is: 394.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    290.90 : 438.38 = 262.04 : x
  2. Step 2: Convert to fraction form
    290.90/438.38 = 262.04/x
  3. Step 3: Cross multiply
    290.90x = 438.38 × 262.04
  4. Step 4: Simplify right side
    290.90x = 114,873.10
  5. Step 5: Solve for x
    x = 114,873.10/290.90
  6. Step 6: Final answer
    x = 394.90

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.