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Finding the Fourth Proportional to 538.09, 743.18 and 360.75

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Solution

The fourth proportional to 538.09, 743.18 and 360.75 is: 498.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    538.09 : 743.18 = 360.75 : x
  2. Step 2: Convert to fraction form
    538.09/743.18 = 360.75/x
  3. Step 3: Cross multiply
    538.09x = 743.18 × 360.75
  4. Step 4: Simplify right side
    538.09x = 268,102.19
  5. Step 5: Solve for x
    x = 268,102.19/538.09
  6. Step 6: Final answer
    x = 498.25

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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.