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Finding the Fourth Proportional to 353.73, 488.65 and 256

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Solution

The fourth proportional to 353.73, 488.65 and 256 is: 353.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    353.73 : 488.65 = 256 : x
  2. Step 2: Convert to fraction form
    353.73/488.65 = 256/x
  3. Step 3: Cross multiply
    353.73x = 488.65 × 256
  4. Step 4: Simplify right side
    353.73x = 125,094.40
  5. Step 5: Solve for x
    x = 125,094.40/353.73
  6. Step 6: Final answer
    x = 353.64

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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.