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Finding the Fourth Proportional to 265.86, 398.96 and 174.74

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Solution

The fourth proportional to 265.86, 398.96 and 174.74 is: 262.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    265.86 : 398.96 = 174.74 : x
  2. Step 2: Convert to fraction form
    265.86/398.96 = 174.74/x
  3. Step 3: Cross multiply
    265.86x = 398.96 × 174.74
  4. Step 4: Simplify right side
    265.86x = 69,714.27
  5. Step 5: Solve for x
    x = 69,714.27/265.86
  6. Step 6: Final answer
    x = 262.22

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