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Finding the Fourth Proportional to 451.08, 622.98 and 311.40

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Solution

The fourth proportional to 451.08, 622.98 and 311.40 is: 430.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    451.08 : 622.98 = 311.40 : x
  2. Step 2: Convert to fraction form
    451.08/622.98 = 311.40/x
  3. Step 3: Cross multiply
    451.08x = 622.98 × 311.40
  4. Step 4: Simplify right side
    451.08x = 193,995.97
  5. Step 5: Solve for x
    x = 193,995.97/451.08
  6. Step 6: Final answer
    x = 430.07

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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.