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Finding the Fourth Proportional to 444.30, 613.17 and 278.49

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Solution

The fourth proportional to 444.30, 613.17 and 278.49 is: 384.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    444.30 : 613.17 = 278.49 : x
  2. Step 2: Convert to fraction form
    444.30/613.17 = 278.49/x
  3. Step 3: Cross multiply
    444.30x = 613.17 × 278.49
  4. Step 4: Simplify right side
    444.30x = 170,761.71
  5. Step 5: Solve for x
    x = 170,761.71/444.30
  6. Step 6: Final answer
    x = 384.34

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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.