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Finding the Fourth Proportional to 505.65, 758.54 and 213.10

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Solution

The fourth proportional to 505.65, 758.54 and 213.10 is: 319.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    505.65 : 758.54 = 213.10 : x
  2. Step 2: Convert to fraction form
    505.65/758.54 = 213.10/x
  3. Step 3: Cross multiply
    505.65x = 758.54 × 213.10
  4. Step 4: Simplify right side
    505.65x = 161,644.87
  5. Step 5: Solve for x
    x = 161,644.87/505.65
  6. Step 6: Final answer
    x = 319.68

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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.