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Finding the Fourth Proportional to 291.26, 438.64 and 262.74

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Solution

The fourth proportional to 291.26, 438.64 and 262.74 is: 395.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    291.26 : 438.64 = 262.74 : x
  2. Step 2: Convert to fraction form
    291.26/438.64 = 262.74/x
  3. Step 3: Cross multiply
    291.26x = 438.64 × 262.74
  4. Step 4: Simplify right side
    291.26x = 115,246.96
  5. Step 5: Solve for x
    x = 115,246.96/291.26
  6. Step 6: Final answer
    x = 395.68

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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.