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Finding the Fourth Proportional to 505.36, 758.32 and 216.80

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Solution

The fourth proportional to 505.36, 758.32 and 216.80 is: 325.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    505.36 : 758.32 = 216.80 : x
  2. Step 2: Convert to fraction form
    505.36/758.32 = 216.80/x
  3. Step 3: Cross multiply
    505.36x = 758.32 × 216.80
  4. Step 4: Simplify right side
    505.36x = 164,403.78
  5. Step 5: Solve for x
    x = 164,403.78/505.36
  6. Step 6: Final answer
    x = 325.32

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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.