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Finding the Fourth Proportional to 312.53, 432.11 and 273.62

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Solution

The fourth proportional to 312.53, 432.11 and 273.62 is: 378.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    312.53 : 432.11 = 273.62 : x
  2. Step 2: Convert to fraction form
    312.53/432.11 = 273.62/x
  3. Step 3: Cross multiply
    312.53x = 432.11 × 273.62
  4. Step 4: Simplify right side
    312.53x = 118,230.41
  5. Step 5: Solve for x
    x = 118,230.41/312.53
  6. Step 6: Final answer
    x = 378.30

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.