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Finding the Fourth Proportional to 395.52, 546.32 and 278.88

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Solution

The fourth proportional to 395.52, 546.32 and 278.88 is: 385.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    395.52 : 546.32 = 278.88 : x
  2. Step 2: Convert to fraction form
    395.52/546.32 = 278.88/x
  3. Step 3: Cross multiply
    395.52x = 546.32 × 278.88
  4. Step 4: Simplify right side
    395.52x = 152,357.72
  5. Step 5: Solve for x
    x = 152,357.72/395.52
  6. Step 6: Final answer
    x = 385.21

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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.