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Finding the Fourth Proportional to 445.24, 613.56 and 313.84

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Solution

The fourth proportional to 445.24, 613.56 and 313.84 is: 432.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    445.24 : 613.56 = 313.84 : x
  2. Step 2: Convert to fraction form
    445.24/613.56 = 313.84/x
  3. Step 3: Cross multiply
    445.24x = 613.56 × 313.84
  4. Step 4: Simplify right side
    445.24x = 192,559.67
  5. Step 5: Solve for x
    x = 192,559.67/445.24
  6. Step 6: Final answer
    x = 432.49

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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.