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Finding the Fourth Proportional to 543.34, 815.06 and 300.03

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Solution

The fourth proportional to 543.34, 815.06 and 300.03 is: 450.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    543.34 : 815.06 = 300.03 : x
  2. Step 2: Convert to fraction form
    543.34/815.06 = 300.03/x
  3. Step 3: Cross multiply
    543.34x = 815.06 × 300.03
  4. Step 4: Simplify right side
    543.34x = 244,542.45
  5. Step 5: Solve for x
    x = 244,542.45/543.34
  6. Step 6: Final answer
    x = 450.07

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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.