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Finding the Fourth Proportional to 348.88, 481.65 and 278.71

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Solution

The fourth proportional to 348.88, 481.65 and 278.71 is: 384.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    348.88 : 481.65 = 278.71 : x
  2. Step 2: Convert to fraction form
    348.88/481.65 = 278.71/x
  3. Step 3: Cross multiply
    348.88x = 481.65 × 278.71
  4. Step 4: Simplify right side
    348.88x = 134,240.67
  5. Step 5: Solve for x
    x = 134,240.67/348.88
  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.