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Finding the Fourth Proportional to 383.16, 572.01 and 369.66

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Solution

The fourth proportional to 383.16, 572.01 and 369.66 is: 551.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    383.16 : 572.01 = 369.66 : x
  2. Step 2: Convert to fraction form
    383.16/572.01 = 369.66/x
  3. Step 3: Cross multiply
    383.16x = 572.01 × 369.66
  4. Step 4: Simplify right side
    383.16x = 211,449.22
  5. Step 5: Solve for x
    x = 211,449.22/383.16
  6. Step 6: Final answer
    x = 551.86

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.