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Finding the Fourth Proportional to 385.31, 578.14 and 141.80

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Solution

The fourth proportional to 385.31, 578.14 and 141.80 is: 212.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    385.31 : 578.14 = 141.80 : x
  2. Step 2: Convert to fraction form
    385.31/578.14 = 141.80/x
  3. Step 3: Cross multiply
    385.31x = 578.14 × 141.80
  4. Step 4: Simplify right side
    385.31x = 81,977.01
  5. Step 5: Solve for x
    x = 81,977.01/385.31
  6. Step 6: Final answer
    x = 212.75

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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.