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Finding the Fourth Proportional to 385.48, 577.81 and 166.21

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Solution

The fourth proportional to 385.48, 577.81 and 166.21 is: 249.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    385.48 : 577.81 = 166.21 : x
  2. Step 2: Convert to fraction form
    385.48/577.81 = 166.21/x
  3. Step 3: Cross multiply
    385.48x = 577.81 × 166.21
  4. Step 4: Simplify right side
    385.48x = 96,036.56
  5. Step 5: Solve for x
    x = 96,036.56/385.48
  6. Step 6: Final answer
    x = 249.13

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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.