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Finding the Fourth Proportional to 282.76, 390.24 and 158.42

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Solution

The fourth proportional to 282.76, 390.24 and 158.42 is: 218.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    282.76 : 390.24 = 158.42 : x
  2. Step 2: Convert to fraction form
    282.76/390.24 = 158.42/x
  3. Step 3: Cross multiply
    282.76x = 390.24 × 158.42
  4. Step 4: Simplify right side
    282.76x = 61,822.80
  5. Step 5: Solve for x
    x = 61,822.80/282.76
  6. Step 6: Final answer
    x = 218.64

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