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Finding the Fourth Proportional to 510, 765.20 and 180.98

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Solution

The fourth proportional to 510, 765.20 and 180.98 is: 271.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    510 : 765.20 = 180.98 : x
  2. Step 2: Convert to fraction form
    510/765.20 = 180.98/x
  3. Step 3: Cross multiply
    510x = 765.20 × 180.98
  4. Step 4: Simplify right side
    510x = 138,485.90
  5. Step 5: Solve for x
    x = 138,485.90/510
  6. Step 6: Final answer
    x = 271.54

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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.