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Finding the Fourth Proportional to 291.28, 438.66 and 262.72

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Solution

The fourth proportional to 291.28, 438.66 and 262.72 is: 395.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    291.28 : 438.66 = 262.72 : x
  2. Step 2: Convert to fraction form
    291.28/438.66 = 262.72/x
  3. Step 3: Cross multiply
    291.28x = 438.66 × 262.72
  4. Step 4: Simplify right side
    291.28x = 115,243.44
  5. Step 5: Solve for x
    x = 115,243.44/291.28
  6. Step 6: Final answer
    x = 395.64

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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.