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Finding the Fourth Proportional to 262.85, 395.36 and 238.01

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Solution

The fourth proportional to 262.85, 395.36 and 238.01 is: 357.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    262.85 : 395.36 = 238.01 : x
  2. Step 2: Convert to fraction form
    262.85/395.36 = 238.01/x
  3. Step 3: Cross multiply
    262.85x = 395.36 × 238.01
  4. Step 4: Simplify right side
    262.85x = 94,096.47
  5. Step 5: Solve for x
    x = 94,096.47/262.85
  6. Step 6: Final answer
    x = 357.99

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.