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Finding the Fourth Proportional to 506.02, 758.48 and 197.82

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Solution

The fourth proportional to 506.02, 758.48 and 197.82 is: 296.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    506.02 : 758.48 = 197.82 : x
  2. Step 2: Convert to fraction form
    506.02/758.48 = 197.82/x
  3. Step 3: Cross multiply
    506.02x = 758.48 × 197.82
  4. Step 4: Simplify right side
    506.02x = 150,038.68
  5. Step 5: Solve for x
    x = 150,038.68/506.02
  6. Step 6: Final answer
    x = 296.51

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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.