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Finding the Fourth Proportional to 445.07, 613.59 and 339.81

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Solution

The fourth proportional to 445.07, 613.59 and 339.81 is: 468.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    445.07 : 613.59 = 339.81 : x
  2. Step 2: Convert to fraction form
    445.07/613.59 = 339.81/x
  3. Step 3: Cross multiply
    445.07x = 613.59 × 339.81
  4. Step 4: Simplify right side
    445.07x = 208,504.02
  5. Step 5: Solve for x
    x = 208,504.02/445.07
  6. Step 6: Final answer
    x = 468.48

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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.