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Finding the Fourth Proportional to 443.85, 611.87 and 312.45

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Solution

The fourth proportional to 443.85, 611.87 and 312.45 is: 430.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    443.85 : 611.87 = 312.45 : x
  2. Step 2: Convert to fraction form
    443.85/611.87 = 312.45/x
  3. Step 3: Cross multiply
    443.85x = 611.87 × 312.45
  4. Step 4: Simplify right side
    443.85x = 191,178.78
  5. Step 5: Solve for x
    x = 191,178.78/443.85
  6. Step 6: Final answer
    x = 430.73

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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.