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Finding the Fourth Proportional to 317.37, 438.09 and 186.42

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Solution

The fourth proportional to 317.37, 438.09 and 186.42 is: 257.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    317.37 : 438.09 = 186.42 : x
  2. Step 2: Convert to fraction form
    317.37/438.09 = 186.42/x
  3. Step 3: Cross multiply
    317.37x = 438.09 × 186.42
  4. Step 4: Simplify right side
    317.37x = 81,668.74
  5. Step 5: Solve for x
    x = 81,668.74/317.37
  6. Step 6: Final answer
    x = 257.33

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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.