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Finding the Fourth Proportional to 505.08, 757.23 and 197.15

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Solution

The fourth proportional to 505.08, 757.23 and 197.15 is: 295.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    505.08 : 757.23 = 197.15 : x
  2. Step 2: Convert to fraction form
    505.08/757.23 = 197.15/x
  3. Step 3: Cross multiply
    505.08x = 757.23 × 197.15
  4. Step 4: Simplify right side
    505.08x = 149,284.11
  5. Step 5: Solve for x
    x = 149,284.11/505.08
  6. Step 6: Final answer
    x = 295.57

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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.