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Finding the Fourth Proportional to 367.41, 553.29 and 309.99

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Solution

The fourth proportional to 367.41, 553.29 and 309.99 is: 466.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    367.41 : 553.29 = 309.99 : x
  2. Step 2: Convert to fraction form
    367.41/553.29 = 309.99/x
  3. Step 3: Cross multiply
    367.41x = 553.29 × 309.99
  4. Step 4: Simplify right side
    367.41x = 171,514.37
  5. Step 5: Solve for x
    x = 171,514.37/367.41
  6. Step 6: Final answer
    x = 466.82

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.