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Finding the Fourth Proportional to 543.12, 749.28 and 310.08

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Solution

The fourth proportional to 543.12, 749.28 and 310.08 is: 427.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    543.12 : 749.28 = 310.08 : x
  2. Step 2: Convert to fraction form
    543.12/749.28 = 310.08/x
  3. Step 3: Cross multiply
    543.12x = 749.28 × 310.08
  4. Step 4: Simplify right side
    543.12x = 232,336.74
  5. Step 5: Solve for x
    x = 232,336.74/543.12
  6. Step 6: Final answer
    x = 427.78

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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.