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Finding the Fourth Proportional to 538.17, 742.67 and 302.09

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Solution

The fourth proportional to 538.17, 742.67 and 302.09 is: 416.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    538.17 : 742.67 = 302.09 : x
  2. Step 2: Convert to fraction form
    538.17/742.67 = 302.09/x
  3. Step 3: Cross multiply
    538.17x = 742.67 × 302.09
  4. Step 4: Simplify right side
    538.17x = 224,350.22
  5. Step 5: Solve for x
    x = 224,350.22/538.17
  6. Step 6: Final answer
    x = 416.88

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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.