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Finding the Fourth Proportional to 506.89, 760.33 and 141.67

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Solution

The fourth proportional to 506.89, 760.33 and 141.67 is: 212.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    506.89 : 760.33 = 141.67 : x
  2. Step 2: Convert to fraction form
    506.89/760.33 = 141.67/x
  3. Step 3: Cross multiply
    506.89x = 760.33 × 141.67
  4. Step 4: Simplify right side
    506.89x = 107,718.82
  5. Step 5: Solve for x
    x = 107,718.82/506.89
  6. Step 6: Final answer
    x = 212.51

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Similar ratio
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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.