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Finding the Fourth Proportional to 543.86, 815.30 and 219

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Solution

The fourth proportional to 543.86, 815.30 and 219 is: 328.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    543.86 : 815.30 = 219 : x
  2. Step 2: Convert to fraction form
    543.86/815.30 = 219/x
  3. Step 3: Cross multiply
    543.86x = 815.30 × 219
  4. Step 4: Simplify right side
    543.86x = 178,550.70
  5. Step 5: Solve for x
    x = 178,550.70/543.86
  6. Step 6: Final answer
    x = 328.30

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.