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Finding the Fourth Proportional to 538.16, 743.02 and 361.26

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Solution

The fourth proportional to 538.16, 743.02 and 361.26 is: 498.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    538.16 : 743.02 = 361.26 : x
  2. Step 2: Convert to fraction form
    538.16/743.02 = 361.26/x
  3. Step 3: Cross multiply
    538.16x = 743.02 × 361.26
  4. Step 4: Simplify right side
    538.16x = 268,423.41
  5. Step 5: Solve for x
    x = 268,423.41/538.16
  6. Step 6: Final answer
    x = 498.78

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