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Finding the Fourth Proportional to 375.78, 518.10 and 309.16

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Solution

The fourth proportional to 375.78, 518.10 and 309.16 is: 426.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    375.78 : 518.10 = 309.16 : x
  2. Step 2: Convert to fraction form
    375.78/518.10 = 309.16/x
  3. Step 3: Cross multiply
    375.78x = 518.10 × 309.16
  4. Step 4: Simplify right side
    375.78x = 160,173.21
  5. Step 5: Solve for x
    x = 160,173.21/375.78
  6. Step 6: Final answer
    x = 426.24

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