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Finding the Fourth Proportional to 383.61, 578.25 and 361.32

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Solution

The fourth proportional to 383.61, 578.25 and 361.32 is: 544.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    383.61 : 578.25 = 361.32 : x
  2. Step 2: Convert to fraction form
    383.61/578.25 = 361.32/x
  3. Step 3: Cross multiply
    383.61x = 578.25 × 361.32
  4. Step 4: Simplify right side
    383.61x = 208,933.29
  5. Step 5: Solve for x
    x = 208,933.29/383.61
  6. Step 6: Final answer
    x = 544.65

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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.