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Finding the Fourth Proportional to 323.04, 487.20 and 317.28

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Solution

The fourth proportional to 323.04, 487.20 and 317.28 is: 478.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    323.04 : 487.20 = 317.28 : x
  2. Step 2: Convert to fraction form
    323.04/487.20 = 317.28/x
  3. Step 3: Cross multiply
    323.04x = 487.20 × 317.28
  4. Step 4: Simplify right side
    323.04x = 154,578.82
  5. Step 5: Solve for x
    x = 154,578.82/323.04
  6. Step 6: Final answer
    x = 478.51

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.