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Finding the Fourth Proportional to 257.49, 385.94 and 142.01

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Solution

The fourth proportional to 257.49, 385.94 and 142.01 is: 212.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    257.49 : 385.94 = 142.01 : x
  2. Step 2: Convert to fraction form
    257.49/385.94 = 142.01/x
  3. Step 3: Cross multiply
    257.49x = 385.94 × 142.01
  4. Step 4: Simplify right side
    257.49x = 54,804.70
  5. Step 5: Solve for x
    x = 54,804.70/257.49
  6. Step 6: Final answer
    x = 212.84

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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.