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Finding the Fourth Proportional to 623.41, 860.21 and 361.38

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Solution

The fourth proportional to 623.41, 860.21 and 361.38 is: 498.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    623.41 : 860.21 = 361.38 : x
  2. Step 2: Convert to fraction form
    623.41/860.21 = 361.38/x
  3. Step 3: Cross multiply
    623.41x = 860.21 × 361.38
  4. Step 4: Simplify right side
    623.41x = 310,859.64
  5. Step 5: Solve for x
    x = 310,859.64/623.41
  6. Step 6: Final answer
    x = 498.64

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.