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Finding the Fourth Proportional to 510.39, 765.63 and 266.85

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Solution

The fourth proportional to 510.39, 765.63 and 266.85 is: 400.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    510.39 : 765.63 = 266.85 : x
  2. Step 2: Convert to fraction form
    510.39/765.63 = 266.85/x
  3. Step 3: Cross multiply
    510.39x = 765.63 × 266.85
  4. Step 4: Simplify right side
    510.39x = 204,308.37
  5. Step 5: Solve for x
    x = 204,308.37/510.39
  6. Step 6: Final answer
    x = 400.30

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.