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Finding the Fourth Proportional to 257.31, 354.98 and 153.75

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Solution

The fourth proportional to 257.31, 354.98 and 153.75 is: 212.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    257.31 : 354.98 = 153.75 : x
  2. Step 2: Convert to fraction form
    257.31/354.98 = 153.75/x
  3. Step 3: Cross multiply
    257.31x = 354.98 × 153.75
  4. Step 4: Simplify right side
    257.31x = 54,577.41
  5. Step 5: Solve for x
    x = 54,577.41/257.31
  6. Step 6: Final answer
    x = 212.11

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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.