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Finding the Fourth Proportional to 444.49, 613.49 and 278.80

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Solution

The fourth proportional to 444.49, 613.49 and 278.80 is: 384.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    444.49 : 613.49 = 278.80 : x
  2. Step 2: Convert to fraction form
    444.49/613.49 = 278.80/x
  3. Step 3: Cross multiply
    444.49x = 613.49 × 278.80
  4. Step 4: Simplify right side
    444.49x = 171,038.08
  5. Step 5: Solve for x
    x = 171,038.08/444.49
  6. Step 6: Final answer
    x = 384.80

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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.