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Finding the Fourth Proportional to 257.02, 385.19 and 141.29

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Solution

The fourth proportional to 257.02, 385.19 and 141.29 is: 211.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    257.02 : 385.19 = 141.29 : x
  2. Step 2: Convert to fraction form
    257.02/385.19 = 141.29/x
  3. Step 3: Cross multiply
    257.02x = 385.19 × 141.29
  4. Step 4: Simplify right side
    257.02x = 54,423.50
  5. Step 5: Solve for x
    x = 54,423.50/257.02
  6. Step 6: Final answer
    x = 211.75

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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.