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Finding the Fourth Proportional to 317.05, 472.45 and 313.54

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Solution

The fourth proportional to 317.05, 472.45 and 313.54 is: 467.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    317.05 : 472.45 = 313.54 : x
  2. Step 2: Convert to fraction form
    317.05/472.45 = 313.54/x
  3. Step 3: Cross multiply
    317.05x = 472.45 × 313.54
  4. Step 4: Simplify right side
    317.05x = 148,131.97
  5. Step 5: Solve for x
    x = 148,131.97/317.05
  6. Step 6: Final answer
    x = 467.22

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.