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Finding the Fourth Proportional to 290.88, 438.12 and 269.64

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Solution

The fourth proportional to 290.88, 438.12 and 269.64 is: 406.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    290.88 : 438.12 = 269.64 : x
  2. Step 2: Convert to fraction form
    290.88/438.12 = 269.64/x
  3. Step 3: Cross multiply
    290.88x = 438.12 × 269.64
  4. Step 4: Simplify right side
    290.88x = 118,134.68
  5. Step 5: Solve for x
    x = 118,134.68/290.88
  6. Step 6: Final answer
    x = 406.13

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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.