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Finding the Fourth Proportional to 383.12, 530.78 and 375.80

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Solution

The fourth proportional to 383.12, 530.78 and 375.80 is: 520.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    383.12 : 530.78 = 375.80 : x
  2. Step 2: Convert to fraction form
    383.12/530.78 = 375.80/x
  3. Step 3: Cross multiply
    383.12x = 530.78 × 375.80
  4. Step 4: Simplify right side
    383.12x = 199,467.12
  5. Step 5: Solve for x
    x = 199,467.12/383.12
  6. Step 6: Final answer
    x = 520.64

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.