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Finding the Fourth Proportional to 652.08, 978.18 and 189.84

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Solution

The fourth proportional to 652.08, 978.18 and 189.84 is: 284.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    652.08 : 978.18 = 189.84 : x
  2. Step 2: Convert to fraction form
    652.08/978.18 = 189.84/x
  3. Step 3: Cross multiply
    652.08x = 978.18 × 189.84
  4. Step 4: Simplify right side
    652.08x = 185,697.69
  5. Step 5: Solve for x
    x = 185,697.69/652.08
  6. Step 6: Final answer
    x = 284.78

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