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Finding the Fourth Proportional to 543.76, 816 and 255.28

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Solution

The fourth proportional to 543.76, 816 and 255.28 is: 383.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    543.76 : 816 = 255.28 : x
  2. Step 2: Convert to fraction form
    543.76/816 = 255.28/x
  3. Step 3: Cross multiply
    543.76x = 816 × 255.28
  4. Step 4: Simplify right side
    543.76x = 208,308.48
  5. Step 5: Solve for x
    x = 208,308.48/543.76
  6. Step 6: Final answer
    x = 383.09

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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.