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Finding the Fourth Proportional to 317.81, 438.46 and 179.81

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Solution

The fourth proportional to 317.81, 438.46 and 179.81 is: 248.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    317.81 : 438.46 = 179.81 : x
  2. Step 2: Convert to fraction form
    317.81/438.46 = 179.81/x
  3. Step 3: Cross multiply
    317.81x = 438.46 × 179.81
  4. Step 4: Simplify right side
    317.81x = 78,839.49
  5. Step 5: Solve for x
    x = 78,839.49/317.81
  6. Step 6: Final answer
    x = 248.07

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.