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Finding the Fourth Proportional to 505.74, 758.90 and 197.81

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Solution

The fourth proportional to 505.74, 758.90 and 197.81 is: 296.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    505.74 : 758.90 = 197.81 : x
  2. Step 2: Convert to fraction form
    505.74/758.90 = 197.81/x
  3. Step 3: Cross multiply
    505.74x = 758.90 × 197.81
  4. Step 4: Simplify right side
    505.74x = 150,114.71
  5. Step 5: Solve for x
    x = 150,114.71/505.74
  6. Step 6: Final answer
    x = 296.82

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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.