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Finding the Fourth Proportional to 317.03, 472.96 and 308.21

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Solution

The fourth proportional to 317.03, 472.96 and 308.21 is: 459.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    317.03 : 472.96 = 308.21 : x
  2. Step 2: Convert to fraction form
    317.03/472.96 = 308.21/x
  3. Step 3: Cross multiply
    317.03x = 472.96 × 308.21
  4. Step 4: Simplify right side
    317.03x = 145,769.46
  5. Step 5: Solve for x
    x = 145,769.46/317.03
  6. Step 6: Final answer
    x = 459.80

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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.