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Finding the Fourth Proportional to 543.43, 750.30 and 344.33

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Solution

The fourth proportional to 543.43, 750.30 and 344.33 is: 475.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    543.43 : 750.30 = 344.33 : x
  2. Step 2: Convert to fraction form
    543.43/750.30 = 344.33/x
  3. Step 3: Cross multiply
    543.43x = 750.30 × 344.33
  4. Step 4: Simplify right side
    543.43x = 258,348.57
  5. Step 5: Solve for x
    x = 258,348.57/543.43
  6. Step 6: Final answer
    x = 475.40

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.