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Finding the Fourth Proportional to 383.66, 574.68 and 253.21

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Solution

The fourth proportional to 383.66, 574.68 and 253.21 is: 379.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    383.66 : 574.68 = 253.21 : x
  2. Step 2: Convert to fraction form
    383.66/574.68 = 253.21/x
  3. Step 3: Cross multiply
    383.66x = 574.68 × 253.21
  4. Step 4: Simplify right side
    383.66x = 145,514.72
  5. Step 5: Solve for x
    x = 145,514.72/383.66
  6. Step 6: Final answer
    x = 379.28

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.