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Finding the Fourth Proportional to 506.01, 758.45 and 213.43

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Solution

The fourth proportional to 506.01, 758.45 and 213.43 is: 319.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    506.01 : 758.45 = 213.43 : x
  2. Step 2: Convert to fraction form
    506.01/758.45 = 213.43/x
  3. Step 3: Cross multiply
    506.01x = 758.45 × 213.43
  4. Step 4: Simplify right side
    506.01x = 161,875.98
  5. Step 5: Solve for x
    x = 161,875.98/506.01
  6. Step 6: Final answer
    x = 319.91

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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.