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Finding the Fourth Proportional to 517.46, 775.96 and 188.40

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Solution

The fourth proportional to 517.46, 775.96 and 188.40 is: 282.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    517.46 : 775.96 = 188.40 : x
  2. Step 2: Convert to fraction form
    517.46/775.96 = 188.40/x
  3. Step 3: Cross multiply
    517.46x = 775.96 × 188.40
  4. Step 4: Simplify right side
    517.46x = 146,190.39
  5. Step 5: Solve for x
    x = 146,190.39/517.46
  6. Step 6: Final answer
    x = 282.51

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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.