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Finding the Fourth Proportional to 505.25, 758.19 and 216.69

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Solution

The fourth proportional to 505.25, 758.19 and 216.69 is: 325.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    505.25 : 758.19 = 216.69 : x
  2. Step 2: Convert to fraction form
    505.25/758.19 = 216.69/x
  3. Step 3: Cross multiply
    505.25x = 758.19 × 216.69
  4. Step 4: Simplify right side
    505.25x = 164,292.19
  5. Step 5: Solve for x
    x = 164,292.19/505.25
  6. Step 6: Final answer
    x = 325.17

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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.