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Finding the Fourth Proportional to 510.34, 765.74 and 279.22

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Solution

The fourth proportional to 510.34, 765.74 and 279.22 is: 418.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    510.34 : 765.74 = 279.22 : x
  2. Step 2: Convert to fraction form
    510.34/765.74 = 279.22/x
  3. Step 3: Cross multiply
    510.34x = 765.74 × 279.22
  4. Step 4: Simplify right side
    510.34x = 213,809.92
  5. Step 5: Solve for x
    x = 213,809.92/510.34
  6. Step 6: Final answer
    x = 418.96

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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.