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Finding the Fourth Proportional to 517.65, 776.35 and 192.78

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Solution

The fourth proportional to 517.65, 776.35 and 192.78 is: 289.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    517.65 : 776.35 = 192.78 : x
  2. Step 2: Convert to fraction form
    517.65/776.35 = 192.78/x
  3. Step 3: Cross multiply
    517.65x = 776.35 × 192.78
  4. Step 4: Simplify right side
    517.65x = 149,664.75
  5. Step 5: Solve for x
    x = 149,664.75/517.65
  6. Step 6: Final answer
    x = 289.12

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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.