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Finding the Fourth Proportional to 514.94, 772.43 and 130.19

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Solution

The fourth proportional to 514.94, 772.43 and 130.19 is: 195.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    514.94 : 772.43 = 130.19 : x
  2. Step 2: Convert to fraction form
    514.94/772.43 = 130.19/x
  3. Step 3: Cross multiply
    514.94x = 772.43 × 130.19
  4. Step 4: Simplify right side
    514.94x = 100,558.15
  5. Step 5: Solve for x
    x = 100,558.15/514.94
  6. Step 6: Final answer
    x = 195.28

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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.