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Finding the Fourth Proportional to 312.25, 468.45 and 141.25

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Solution

The fourth proportional to 312.25, 468.45 and 141.25 is: 211.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    312.25 : 468.45 = 141.25 : x
  2. Step 2: Convert to fraction form
    312.25/468.45 = 141.25/x
  3. Step 3: Cross multiply
    312.25x = 468.45 × 141.25
  4. Step 4: Simplify right side
    312.25x = 66,168.56
  5. Step 5: Solve for x
    x = 66,168.56/312.25
  6. Step 6: Final answer
    x = 211.91

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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.