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Finding the Fourth Proportional to 348.23, 519.40 and 317.54

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Solution

The fourth proportional to 348.23, 519.40 and 317.54 is: 473.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    348.23 : 519.40 = 317.54 : x
  2. Step 2: Convert to fraction form
    348.23/519.40 = 317.54/x
  3. Step 3: Cross multiply
    348.23x = 519.40 × 317.54
  4. Step 4: Simplify right side
    348.23x = 164,930.28
  5. Step 5: Solve for x
    x = 164,930.28/348.23
  6. Step 6: Final answer
    x = 473.62

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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.