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Finding the Fourth Proportional to 389.75, 581.31 and 364.94

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Solution

The fourth proportional to 389.75, 581.31 and 364.94 is: 544.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    389.75 : 581.31 = 364.94 : x
  2. Step 2: Convert to fraction form
    389.75/581.31 = 364.94/x
  3. Step 3: Cross multiply
    389.75x = 581.31 × 364.94
  4. Step 4: Simplify right side
    389.75x = 212,140.36
  5. Step 5: Solve for x
    x = 212,140.36/389.75
  6. Step 6: Final answer
    x = 544.31

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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.