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Finding the Fourth Proportional to 312.53, 468.77 and 251.37

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Solution

The fourth proportional to 312.53, 468.77 and 251.37 is: 377.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    312.53 : 468.77 = 251.37 : x
  2. Step 2: Convert to fraction form
    312.53/468.77 = 251.37/x
  3. Step 3: Cross multiply
    312.53x = 468.77 × 251.37
  4. Step 4: Simplify right side
    312.53x = 117,833.46
  5. Step 5: Solve for x
    x = 117,833.46/312.53
  6. Step 6: Final answer
    x = 377.04

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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.