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Finding the Fourth Proportional to 510.91, 765.91 and 186.20

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Solution

The fourth proportional to 510.91, 765.91 and 186.20 is: 279.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    510.91 : 765.91 = 186.20 : x
  2. Step 2: Convert to fraction form
    510.91/765.91 = 186.20/x
  3. Step 3: Cross multiply
    510.91x = 765.91 × 186.20
  4. Step 4: Simplify right side
    510.91x = 142,610.67
  5. Step 5: Solve for x
    x = 142,610.67/510.91
  6. Step 6: Final answer
    x = 279.13

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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.