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Finding the Fourth Proportional to 522.86, 784.40 and 198.22

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Solution

The fourth proportional to 522.86, 784.40 and 198.22 is: 297.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    522.86 : 784.40 = 198.22 : x
  2. Step 2: Convert to fraction form
    522.86/784.40 = 198.22/x
  3. Step 3: Cross multiply
    522.86x = 784.40 × 198.22
  4. Step 4: Simplify right side
    522.86x = 155,483.77
  5. Step 5: Solve for x
    x = 155,483.77/522.86
  6. Step 6: Final answer
    x = 297.37

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