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Finding the Fourth Proportional to 383.21, 575.15 and 253.61

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Solution

The fourth proportional to 383.21, 575.15 and 253.61 is: 380.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    383.21 : 575.15 = 253.61 : x
  2. Step 2: Convert to fraction form
    383.21/575.15 = 253.61/x
  3. Step 3: Cross multiply
    383.21x = 575.15 × 253.61
  4. Step 4: Simplify right side
    383.21x = 145,859.65
  5. Step 5: Solve for x
    x = 145,859.65/383.21
  6. Step 6: Final answer
    x = 380.63

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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.