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Finding the Fourth Proportional to 445.42, 613.53 and 314.20

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Solution

The fourth proportional to 445.42, 613.53 and 314.20 is: 432.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    445.42 : 613.53 = 314.20 : x
  2. Step 2: Convert to fraction form
    445.42/613.53 = 314.20/x
  3. Step 3: Cross multiply
    445.42x = 613.53 × 314.20
  4. Step 4: Simplify right side
    445.42x = 192,771.13
  5. Step 5: Solve for x
    x = 192,771.13/445.42
  6. Step 6: Final answer
    x = 432.79

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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.