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Finding the Fourth Proportional to 543, 749.38 and 310.20

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Solution

The fourth proportional to 543, 749.38 and 310.20 is: 428.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    543 : 749.38 = 310.20 : x
  2. Step 2: Convert to fraction form
    543/749.38 = 310.20/x
  3. Step 3: Cross multiply
    543x = 749.38 × 310.20
  4. Step 4: Simplify right side
    543x = 232,457.68
  5. Step 5: Solve for x
    x = 232,457.68/543
  6. Step 6: Final answer
    x = 428.10

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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.