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Finding the Fourth Proportional to 506.97, 760.51 and 141.76

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Solution

The fourth proportional to 506.97, 760.51 and 141.76 is: 212.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    506.97 : 760.51 = 141.76 : x
  2. Step 2: Convert to fraction form
    506.97/760.51 = 141.76/x
  3. Step 3: Cross multiply
    506.97x = 760.51 × 141.76
  4. Step 4: Simplify right side
    506.97x = 107,809.21
  5. Step 5: Solve for x
    x = 107,809.21/506.97
  6. Step 6: Final answer
    x = 212.65

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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.