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Finding the Fourth Proportional to 517.49, 776.31 and 188.45

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Solution

The fourth proportional to 517.49, 776.31 and 188.45 is: 282.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    517.49 : 776.31 = 188.45 : x
  2. Step 2: Convert to fraction form
    517.49/776.31 = 188.45/x
  3. Step 3: Cross multiply
    517.49x = 776.31 × 188.45
  4. Step 4: Simplify right side
    517.49x = 146,295.62
  5. Step 5: Solve for x
    x = 146,295.62/517.49
  6. Step 6: Final answer
    x = 282.70

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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.