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Finding the Fourth Proportional to 538.27, 742.76 and 299

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Solution

The fourth proportional to 538.27, 742.76 and 299 is: 412.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    538.27 : 742.76 = 299 : x
  2. Step 2: Convert to fraction form
    538.27/742.76 = 299/x
  3. Step 3: Cross multiply
    538.27x = 742.76 × 299
  4. Step 4: Simplify right side
    538.27x = 222,085.99
  5. Step 5: Solve for x
    x = 222,085.99/538.27
  6. Step 6: Final answer
    x = 412.60

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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.