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Finding the Fourth Proportional to 383.82, 530.05 and 321.02

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Solution

The fourth proportional to 383.82, 530.05 and 321.02 is: 443.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    383.82 : 530.05 = 321.02 : x
  2. Step 2: Convert to fraction form
    383.82/530.05 = 321.02/x
  3. Step 3: Cross multiply
    383.82x = 530.05 × 321.02
  4. Step 4: Simplify right side
    383.82x = 170,156.65
  5. Step 5: Solve for x
    x = 170,156.65/383.82
  6. Step 6: Final answer
    x = 443.32

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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.