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Finding the Fourth Proportional to 290.31, 438.25 and 288.69

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Solution

The fourth proportional to 290.31, 438.25 and 288.69 is: 435.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    290.31 : 438.25 = 288.69 : x
  2. Step 2: Convert to fraction form
    290.31/438.25 = 288.69/x
  3. Step 3: Cross multiply
    290.31x = 438.25 × 288.69
  4. Step 4: Simplify right side
    290.31x = 126,516.95
  5. Step 5: Solve for x
    x = 126,516.95/290.31
  6. Step 6: Final answer
    x = 435.80

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