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Finding the Fourth Proportional to 261.53, 392.19 and 78.86

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Solution

The fourth proportional to 261.53, 392.19 and 78.86 is: 118.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    261.53 : 392.19 = 78.86 : x
  2. Step 2: Convert to fraction form
    261.53/392.19 = 78.86/x
  3. Step 3: Cross multiply
    261.53x = 392.19 × 78.86
  4. Step 4: Simplify right side
    261.53x = 30,928.10
  5. Step 5: Solve for x
    x = 30,928.10/261.53
  6. Step 6: Final answer
    x = 118.26

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