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Finding the Fourth Proportional to 451.37, 623.40 and 311.24

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Solution

The fourth proportional to 451.37, 623.40 and 311.24 is: 429.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    451.37 : 623.40 = 311.24 : x
  2. Step 2: Convert to fraction form
    451.37/623.40 = 311.24/x
  3. Step 3: Cross multiply
    451.37x = 623.40 × 311.24
  4. Step 4: Simplify right side
    451.37x = 194,027.41
  5. Step 5: Solve for x
    x = 194,027.41/451.37
  6. Step 6: Final answer
    x = 429.86

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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.