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Finding the Fourth Proportional to 257.36, 385.61 and 135.63

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Solution

The fourth proportional to 257.36, 385.61 and 135.63 is: 203.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    257.36 : 385.61 = 135.63 : x
  2. Step 2: Convert to fraction form
    257.36/385.61 = 135.63/x
  3. Step 3: Cross multiply
    257.36x = 385.61 × 135.63
  4. Step 4: Simplify right side
    257.36x = 52,299.61
  5. Step 5: Solve for x
    x = 52,299.61/257.36
  6. Step 6: Final answer
    x = 203.22

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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.