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Finding the Fourth Proportional to 517.16, 775.58 and 188.05

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Solution

The fourth proportional to 517.16, 775.58 and 188.05 is: 282.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    517.16 : 775.58 = 188.05 : x
  2. Step 2: Convert to fraction form
    517.16/775.58 = 188.05/x
  3. Step 3: Cross multiply
    517.16x = 775.58 × 188.05
  4. Step 4: Simplify right side
    517.16x = 145,846.88
  5. Step 5: Solve for x
    x = 145,846.88/517.16
  6. Step 6: Final answer
    x = 282.02

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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.