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Finding the Fourth Proportional to 317.40, 441.08 and 313.54

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Solution

The fourth proportional to 317.40, 441.08 and 313.54 is: 435.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    317.40 : 441.08 = 313.54 : x
  2. Step 2: Convert to fraction form
    317.40/441.08 = 313.54/x
  3. Step 3: Cross multiply
    317.40x = 441.08 × 313.54
  4. Step 4: Simplify right side
    317.40x = 138,296.22
  5. Step 5: Solve for x
    x = 138,296.22/317.40
  6. Step 6: Final answer
    x = 435.72

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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.