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Finding the Fourth Proportional to 510.23, 764.33 and 278.78

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Solution

The fourth proportional to 510.23, 764.33 and 278.78 is: 417.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    510.23 : 764.33 = 278.78 : x
  2. Step 2: Convert to fraction form
    510.23/764.33 = 278.78/x
  3. Step 3: Cross multiply
    510.23x = 764.33 × 278.78
  4. Step 4: Simplify right side
    510.23x = 213,074.70
  5. Step 5: Solve for x
    x = 213,074.70/510.23
  6. Step 6: Final answer
    x = 417.61

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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.