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Finding the Fourth Proportional to 563.41, 845.12 and 238.60

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Solution

The fourth proportional to 563.41, 845.12 and 238.60 is: 357.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    563.41 : 845.12 = 238.60 : x
  2. Step 2: Convert to fraction form
    563.41/845.12 = 238.60/x
  3. Step 3: Cross multiply
    563.41x = 845.12 × 238.60
  4. Step 4: Simplify right side
    563.41x = 201,642.33
  5. Step 5: Solve for x
    x = 201,642.33/563.41
  6. Step 6: Final answer
    x = 357.90

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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.