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Finding the Fourth Proportional to 506.89, 760.65 and 218.35

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Solution

The fourth proportional to 506.89, 760.65 and 218.35 is: 327.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    506.89 : 760.65 = 218.35 : x
  2. Step 2: Convert to fraction form
    506.89/760.65 = 218.35/x
  3. Step 3: Cross multiply
    506.89x = 760.65 × 218.35
  4. Step 4: Simplify right side
    506.89x = 166,087.93
  5. Step 5: Solve for x
    x = 166,087.93/506.89
  6. Step 6: Final answer
    x = 327.66

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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.