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Finding the Fourth Proportional to 419.18, 628.70 and 175.66

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Solution

The fourth proportional to 419.18, 628.70 and 175.66 is: 263.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    419.18 : 628.70 = 175.66 : x
  2. Step 2: Convert to fraction form
    419.18/628.70 = 175.66/x
  3. Step 3: Cross multiply
    419.18x = 628.70 × 175.66
  4. Step 4: Simplify right side
    419.18x = 110,434.99
  5. Step 5: Solve for x
    x = 110,434.99/419.18
  6. Step 6: Final answer
    x = 263.46

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