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Finding the Fourth Proportional to 407.41, 613.19 and 305.24

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Solution

The fourth proportional to 407.41, 613.19 and 305.24 is: 459.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    407.41 : 613.19 = 305.24 : x
  2. Step 2: Convert to fraction form
    407.41/613.19 = 305.24/x
  3. Step 3: Cross multiply
    407.41x = 613.19 × 305.24
  4. Step 4: Simplify right side
    407.41x = 187,170.12
  5. Step 5: Solve for x
    x = 187,170.12/407.41
  6. Step 6: Final answer
    x = 459.41

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.