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Finding the Fourth Proportional to 505.14, 757.38 and 197.08

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Solution

The fourth proportional to 505.14, 757.38 and 197.08 is: 295.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    505.14 : 757.38 = 197.08 : x
  2. Step 2: Convert to fraction form
    505.14/757.38 = 197.08/x
  3. Step 3: Cross multiply
    505.14x = 757.38 × 197.08
  4. Step 4: Simplify right side
    505.14x = 149,264.45
  5. Step 5: Solve for x
    x = 149,264.45/505.14
  6. Step 6: Final answer
    x = 295.49

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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.