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Finding the Fourth Proportional to 445.17, 613.71 and 357.69

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Solution

The fourth proportional to 445.17, 613.71 and 357.69 is: 493.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    445.17 : 613.71 = 357.69 : x
  2. Step 2: Convert to fraction form
    445.17/613.71 = 357.69/x
  3. Step 3: Cross multiply
    445.17x = 613.71 × 357.69
  4. Step 4: Simplify right side
    445.17x = 219,517.93
  5. Step 5: Solve for x
    x = 219,517.93/445.17
  6. Step 6: Final answer
    x = 493.11

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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.