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Finding the Fourth Proportional to 290.82, 438.08 and 287.04

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Solution

The fourth proportional to 290.82, 438.08 and 287.04 is: 432.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    290.82 : 438.08 = 287.04 : x
  2. Step 2: Convert to fraction form
    290.82/438.08 = 287.04/x
  3. Step 3: Cross multiply
    290.82x = 438.08 × 287.04
  4. Step 4: Simplify right side
    290.82x = 125,745.05
  5. Step 5: Solve for x
    x = 125,745.05/290.82
  6. Step 6: Final answer
    x = 432.38

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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.