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Finding the Fourth Proportional to 367.81, 505.51 and 297.74

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Solution

The fourth proportional to 367.81, 505.51 and 297.74 is: 409.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    367.81 : 505.51 = 297.74 : x
  2. Step 2: Convert to fraction form
    367.81/505.51 = 297.74/x
  3. Step 3: Cross multiply
    367.81x = 505.51 × 297.74
  4. Step 4: Simplify right side
    367.81x = 150,511.07
  5. Step 5: Solve for x
    x = 150,511.07/367.81
  6. Step 6: Final answer
    x = 409.21

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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.