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Finding the Fourth Proportional to 510.89, 766.64 and 186.48

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Solution

The fourth proportional to 510.89, 766.64 and 186.48 is: 279.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    510.89 : 766.64 = 186.48 : x
  2. Step 2: Convert to fraction form
    510.89/766.64 = 186.48/x
  3. Step 3: Cross multiply
    510.89x = 766.64 × 186.48
  4. Step 4: Simplify right side
    510.89x = 142,963.49
  5. Step 5: Solve for x
    x = 142,963.49/510.89
  6. Step 6: Final answer
    x = 279.83

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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.