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Finding the Fourth Proportional to 257.49, 355.32 and 141.05

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Solution

The fourth proportional to 257.49, 355.32 and 141.05 is: 194.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    257.49 : 355.32 = 141.05 : x
  2. Step 2: Convert to fraction form
    257.49/355.32 = 141.05/x
  3. Step 3: Cross multiply
    257.49x = 355.32 × 141.05
  4. Step 4: Simplify right side
    257.49x = 50,118.77
  5. Step 5: Solve for x
    x = 50,118.77/257.49
  6. Step 6: Final answer
    x = 194.64

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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.