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Finding the Fourth Proportional to 505.84, 758.20 and 213.48

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Solution

The fourth proportional to 505.84, 758.20 and 213.48 is: 319.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    505.84 : 758.20 = 213.48 : x
  2. Step 2: Convert to fraction form
    505.84/758.20 = 213.48/x
  3. Step 3: Cross multiply
    505.84x = 758.20 × 213.48
  4. Step 4: Simplify right side
    505.84x = 161,860.54
  5. Step 5: Solve for x
    x = 161,860.54/505.84
  6. Step 6: Final answer
    x = 319.98

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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.