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Finding the Fourth Proportional to 451.59, 622.98 and 311.90

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Solution

The fourth proportional to 451.59, 622.98 and 311.90 is: 430.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    451.59 : 622.98 = 311.90 : x
  2. Step 2: Convert to fraction form
    451.59/622.98 = 311.90/x
  3. Step 3: Cross multiply
    451.59x = 622.98 × 311.90
  4. Step 4: Simplify right side
    451.59x = 194,304.35
  5. Step 5: Solve for x
    x = 194,304.35/451.59
  6. Step 6: Final answer
    x = 430.27

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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.