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Finding the Fourth Proportional to 383.64, 571.42 and 375.64

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Solution

The fourth proportional to 383.64, 571.42 and 375.64 is: 559.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    383.64 : 571.42 = 375.64 : x
  2. Step 2: Convert to fraction form
    383.64/571.42 = 375.64/x
  3. Step 3: Cross multiply
    383.64x = 571.42 × 375.64
  4. Step 4: Simplify right side
    383.64x = 214,648.21
  5. Step 5: Solve for x
    x = 214,648.21/383.64
  6. Step 6: Final answer
    x = 559.50

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.