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Finding the Fourth Proportional to 383.57, 525.74 and 369.71

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Solution

The fourth proportional to 383.57, 525.74 and 369.71 is: 506.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    383.57 : 525.74 = 369.71 : x
  2. Step 2: Convert to fraction form
    383.57/525.74 = 369.71/x
  3. Step 3: Cross multiply
    383.57x = 525.74 × 369.71
  4. Step 4: Simplify right side
    383.57x = 194,373.87
  5. Step 5: Solve for x
    x = 194,373.87/383.57
  6. Step 6: Final answer
    x = 506.75

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.