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Finding the Fourth Proportional to 282.06, 389.13 and 178.50

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Solution

The fourth proportional to 282.06, 389.13 and 178.50 is: 246.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    282.06 : 389.13 = 178.50 : x
  2. Step 2: Convert to fraction form
    282.06/389.13 = 178.50/x
  3. Step 3: Cross multiply
    282.06x = 389.13 × 178.50
  4. Step 4: Simplify right side
    282.06x = 69,459.71
  5. Step 5: Solve for x
    x = 69,459.71/282.06
  6. Step 6: Final answer
    x = 246.26

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