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Finding the Fourth Proportional to 505.49, 758.23 and 216.92

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Solution

The fourth proportional to 505.49, 758.23 and 216.92 is: 325.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    505.49 : 758.23 = 216.92 : x
  2. Step 2: Convert to fraction form
    505.49/758.23 = 216.92/x
  3. Step 3: Cross multiply
    505.49x = 758.23 × 216.92
  4. Step 4: Simplify right side
    505.49x = 164,474.17
  5. Step 5: Solve for x
    x = 164,474.17/505.49
  6. Step 6: Final answer
    x = 325.38

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Double scale
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Similar ratio
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1.5x scale

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.