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Finding the Fourth Proportional to 355.96, 491.60 and 317.31

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Solution

The fourth proportional to 355.96, 491.60 and 317.31 is: 438.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    355.96 : 491.60 = 317.31 : x
  2. Step 2: Convert to fraction form
    355.96/491.60 = 317.31/x
  3. Step 3: Cross multiply
    355.96x = 491.60 × 317.31
  4. Step 4: Simplify right side
    355.96x = 155,989.60
  5. Step 5: Solve for x
    x = 155,989.60/355.96
  6. Step 6: Final answer
    x = 438.22

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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.