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Finding the Fourth Proportional to 359.13, 539 and 256.67

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Solution

The fourth proportional to 359.13, 539 and 256.67 is: 385.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    359.13 : 539 = 256.67 : x
  2. Step 2: Convert to fraction form
    359.13/539 = 256.67/x
  3. Step 3: Cross multiply
    359.13x = 539 × 256.67
  4. Step 4: Simplify right side
    359.13x = 138,345.13
  5. Step 5: Solve for x
    x = 138,345.13/359.13
  6. Step 6: Final answer
    x = 385.22

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