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Finding the Fourth Proportional to 543.22, 749.66 and 310.30

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Solution

The fourth proportional to 543.22, 749.66 and 310.30 is: 428.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    543.22 : 749.66 = 310.30 : x
  2. Step 2: Convert to fraction form
    543.22/749.66 = 310.30/x
  3. Step 3: Cross multiply
    543.22x = 749.66 × 310.30
  4. Step 4: Simplify right side
    543.22x = 232,619.50
  5. Step 5: Solve for x
    x = 232,619.50/543.22
  6. Step 6: Final answer
    x = 428.22

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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.