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Finding the Fourth Proportional to 348.16, 522.24 and 185.76

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Solution

The fourth proportional to 348.16, 522.24 and 185.76 is: 278.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    348.16 : 522.24 = 185.76 : x
  2. Step 2: Convert to fraction form
    348.16/522.24 = 185.76/x
  3. Step 3: Cross multiply
    348.16x = 522.24 × 185.76
  4. Step 4: Simplify right side
    348.16x = 97,011.30
  5. Step 5: Solve for x
    x = 97,011.30/348.16
  6. Step 6: Final answer
    x = 278.64

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