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Finding the Fourth Proportional to 505.50, 757.71 and 212.93

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Solution

The fourth proportional to 505.50, 757.71 and 212.93 is: 319.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    505.50 : 757.71 = 212.93 : x
  2. Step 2: Convert to fraction form
    505.50/757.71 = 212.93/x
  3. Step 3: Cross multiply
    505.50x = 757.71 × 212.93
  4. Step 4: Simplify right side
    505.50x = 161,335.40
  5. Step 5: Solve for x
    x = 161,335.40/505.50
  6. Step 6: Final answer
    x = 319.16

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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.