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Finding the Fourth Proportional to 445.02, 613.86 and 278.94

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Solution

The fourth proportional to 445.02, 613.86 and 278.94 is: 384.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    445.02 : 613.86 = 278.94 : x
  2. Step 2: Convert to fraction form
    445.02/613.86 = 278.94/x
  3. Step 3: Cross multiply
    445.02x = 613.86 × 278.94
  4. Step 4: Simplify right side
    445.02x = 171,231.36
  5. Step 5: Solve for x
    x = 171,231.36/445.02
  6. Step 6: Final answer
    x = 384.78

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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.