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Finding the Fourth Proportional to 494.24, 740.76 and 278

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Solution

The fourth proportional to 494.24, 740.76 and 278 is: 416.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    494.24 : 740.76 = 278 : x
  2. Step 2: Convert to fraction form
    494.24/740.76 = 278/x
  3. Step 3: Cross multiply
    494.24x = 740.76 × 278
  4. Step 4: Simplify right side
    494.24x = 205,931.28
  5. Step 5: Solve for x
    x = 205,931.28/494.24
  6. Step 6: Final answer
    x = 416.66

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