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Finding the Fourth Proportional to 385.53, 578.54 and 142.08

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Solution

The fourth proportional to 385.53, 578.54 and 142.08 is: 213.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    385.53 : 578.54 = 142.08 : x
  2. Step 2: Convert to fraction form
    385.53/578.54 = 142.08/x
  3. Step 3: Cross multiply
    385.53x = 578.54 × 142.08
  4. Step 4: Simplify right side
    385.53x = 82,195.36
  5. Step 5: Solve for x
    x = 82,195.36/385.53
  6. Step 6: Final answer
    x = 213.20

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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.