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Finding the Fourth Proportional to 543.02, 815.34 and 338.48

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Solution

The fourth proportional to 543.02, 815.34 and 338.48 is: 508.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    543.02 : 815.34 = 338.48 : x
  2. Step 2: Convert to fraction form
    543.02/815.34 = 338.48/x
  3. Step 3: Cross multiply
    543.02x = 815.34 × 338.48
  4. Step 4: Simplify right side
    543.02x = 275,976.28
  5. Step 5: Solve for x
    x = 275,976.28/543.02
  6. Step 6: Final answer
    x = 508.22

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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.