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Finding the Fourth Proportional to 510.44, 765.68 and 221.88

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Solution

The fourth proportional to 510.44, 765.68 and 221.88 is: 332.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    510.44 : 765.68 = 221.88 : x
  2. Step 2: Convert to fraction form
    510.44/765.68 = 221.88/x
  3. Step 3: Cross multiply
    510.44x = 765.68 × 221.88
  4. Step 4: Simplify right side
    510.44x = 169,889.08
  5. Step 5: Solve for x
    x = 169,889.08/510.44
  6. Step 6: Final answer
    x = 332.83

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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.