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Finding the Fourth Proportional to 383.58, 571.65 and 371.28

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Solution

The fourth proportional to 383.58, 571.65 and 371.28 is: 553.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    383.58 : 571.65 = 371.28 : x
  2. Step 2: Convert to fraction form
    383.58/571.65 = 371.28/x
  3. Step 3: Cross multiply
    383.58x = 571.65 × 371.28
  4. Step 4: Simplify right side
    383.58x = 212,242.21
  5. Step 5: Solve for x
    x = 212,242.21/383.58
  6. Step 6: Final answer
    x = 553.32

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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.