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Finding the Fourth Proportional to 317.37, 440.96 and 313.50

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Solution

The fourth proportional to 317.37, 440.96 and 313.50 is: 435.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    317.37 : 440.96 = 313.50 : x
  2. Step 2: Convert to fraction form
    317.37/440.96 = 313.50/x
  3. Step 3: Cross multiply
    317.37x = 440.96 × 313.50
  4. Step 4: Simplify right side
    317.37x = 138,239.39
  5. Step 5: Solve for x
    x = 138,239.39/317.37
  6. Step 6: Final answer
    x = 435.58

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.