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Finding the Fourth Proportional to 506.21, 759.35 and 141.02

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Solution

The fourth proportional to 506.21, 759.35 and 141.02 is: 211.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    506.21 : 759.35 = 141.02 : x
  2. Step 2: Convert to fraction form
    506.21/759.35 = 141.02/x
  3. Step 3: Cross multiply
    506.21x = 759.35 × 141.02
  4. Step 4: Simplify right side
    506.21x = 107,084.73
  5. Step 5: Solve for x
    x = 107,084.73/506.21
  6. Step 6: Final answer
    x = 211.54

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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.