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Finding the Fourth Proportional to 506.98, 760.42 and 141.76

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Solution

The fourth proportional to 506.98, 760.42 and 141.76 is: 212.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    506.98 : 760.42 = 141.76 : x
  2. Step 2: Convert to fraction form
    506.98/760.42 = 141.76/x
  3. Step 3: Cross multiply
    506.98x = 760.42 × 141.76
  4. Step 4: Simplify right side
    506.98x = 107,797.14
  5. Step 5: Solve for x
    x = 107,797.14/506.98
  6. Step 6: Final answer
    x = 212.63

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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.