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Finding the Fourth Proportional to 366.99, 506.51 and 274.20

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Solution

The fourth proportional to 366.99, 506.51 and 274.20 is: 378.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    366.99 : 506.51 = 274.20 : x
  2. Step 2: Convert to fraction form
    366.99/506.51 = 274.20/x
  3. Step 3: Cross multiply
    366.99x = 506.51 × 274.20
  4. Step 4: Simplify right side
    366.99x = 138,881.14
  5. Step 5: Solve for x
    x = 138,881.14/366.99
  6. Step 6: Final answer
    x = 378.44

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.