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Finding the Fourth Proportional to 520.12, 780.59 and 196.12

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Solution

The fourth proportional to 520.12, 780.59 and 196.12 is: 294.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    520.12 : 780.59 = 196.12 : x
  2. Step 2: Convert to fraction form
    520.12/780.59 = 196.12/x
  3. Step 3: Cross multiply
    520.12x = 780.59 × 196.12
  4. Step 4: Simplify right side
    520.12x = 153,089.31
  5. Step 5: Solve for x
    x = 153,089.31/520.12
  6. Step 6: Final answer
    x = 294.33

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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.