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Finding the Fourth Proportional to 354.78, 531.84 and 257.25

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Solution

The fourth proportional to 354.78, 531.84 and 257.25 is: 385.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    354.78 : 531.84 = 257.25 : x
  2. Step 2: Convert to fraction form
    354.78/531.84 = 257.25/x
  3. Step 3: Cross multiply
    354.78x = 531.84 × 257.25
  4. Step 4: Simplify right side
    354.78x = 136,815.84
  5. Step 5: Solve for x
    x = 136,815.84/354.78
  6. Step 6: Final answer
    x = 385.64

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.