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Finding the Fourth Proportional to 506.97, 760.46 and 141.80

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Solution

The fourth proportional to 506.97, 760.46 and 141.80 is: 212.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    506.97 : 760.46 = 141.80 : x
  2. Step 2: Convert to fraction form
    506.97/760.46 = 141.80/x
  3. Step 3: Cross multiply
    506.97x = 760.46 × 141.80
  4. Step 4: Simplify right side
    506.97x = 107,828.72
  5. Step 5: Solve for x
    x = 107,828.72/506.97
  6. Step 6: Final answer
    x = 212.69

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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.