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Finding the Fourth Proportional to 445.10, 613.98 and 313.88

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Solution

The fourth proportional to 445.10, 613.98 and 313.88 is: 432.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    445.10 : 613.98 = 313.88 : x
  2. Step 2: Convert to fraction form
    445.10/613.98 = 313.88/x
  3. Step 3: Cross multiply
    445.10x = 613.98 × 313.88
  4. Step 4: Simplify right side
    445.10x = 192,712.97
  5. Step 5: Solve for x
    x = 192,712.97/445.10
  6. Step 6: Final answer
    x = 432.97

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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.