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Finding the Fourth Proportional to 386.64, 533.76 and 255.72

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Solution

The fourth proportional to 386.64, 533.76 and 255.72 is: 353.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    386.64 : 533.76 = 255.72 : x
  2. Step 2: Convert to fraction form
    386.64/533.76 = 255.72/x
  3. Step 3: Cross multiply
    386.64x = 533.76 × 255.72
  4. Step 4: Simplify right side
    386.64x = 136,493.11
  5. Step 5: Solve for x
    x = 136,493.11/386.64
  6. Step 6: Final answer
    x = 353.02

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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.