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Finding the Fourth Proportional to 348.24, 519.54 and 316.80

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Solution

The fourth proportional to 348.24, 519.54 and 316.80 is: 472.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    348.24 : 519.54 = 316.80 : x
  2. Step 2: Convert to fraction form
    348.24/519.54 = 316.80/x
  3. Step 3: Cross multiply
    348.24x = 519.54 × 316.80
  4. Step 4: Simplify right side
    348.24x = 164,590.27
  5. Step 5: Solve for x
    x = 164,590.27/348.24
  6. Step 6: Final answer
    x = 472.63

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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.