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Finding the Fourth Proportional to 445.29, 613.74 and 305.16

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Solution

The fourth proportional to 445.29, 613.74 and 305.16 is: 420.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    445.29 : 613.74 = 305.16 : x
  2. Step 2: Convert to fraction form
    445.29/613.74 = 305.16/x
  3. Step 3: Cross multiply
    445.29x = 613.74 × 305.16
  4. Step 4: Simplify right side
    445.29x = 187,285.83
  5. Step 5: Solve for x
    x = 187,285.83/445.29
  6. Step 6: Final answer
    x = 420.60

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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.