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Finding the Fourth Proportional to 375.22, 561.75 and 245.36

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Solution

The fourth proportional to 375.22, 561.75 and 245.36 is: 367.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    375.22 : 561.75 = 245.36 : x
  2. Step 2: Convert to fraction form
    375.22/561.75 = 245.36/x
  3. Step 3: Cross multiply
    375.22x = 561.75 × 245.36
  4. Step 4: Simplify right side
    375.22x = 137,830.98
  5. Step 5: Solve for x
    x = 137,830.98/375.22
  6. Step 6: Final answer
    x = 367.33

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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.