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Finding the Fourth Proportional to 383.54, 578.34 and 376.25

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Solution

The fourth proportional to 383.54, 578.34 and 376.25 is: 567.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    383.54 : 578.34 = 376.25 : x
  2. Step 2: Convert to fraction form
    383.54/578.34 = 376.25/x
  3. Step 3: Cross multiply
    383.54x = 578.34 × 376.25
  4. Step 4: Simplify right side
    383.54x = 217,597.53
  5. Step 5: Solve for x
    x = 217,597.53/383.54
  6. Step 6: Final answer
    x = 567.35

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.