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Finding the Fourth Proportional to 385.93, 579.20 and 142.53

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Solution

The fourth proportional to 385.93, 579.20 and 142.53 is: 213.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    385.93 : 579.20 = 142.53 : x
  2. Step 2: Convert to fraction form
    385.93/579.20 = 142.53/x
  3. Step 3: Cross multiply
    385.93x = 579.20 × 142.53
  4. Step 4: Simplify right side
    385.93x = 82,551.29
  5. Step 5: Solve for x
    x = 82,551.29/385.93
  6. Step 6: Final answer
    x = 213.90

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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.