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Finding the Fourth Proportional to 385.30, 577.55 and 166.04

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Solution

The fourth proportional to 385.30, 577.55 and 166.04 is: 248.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    385.30 : 577.55 = 166.04 : x
  2. Step 2: Convert to fraction form
    385.30/577.55 = 166.04/x
  3. Step 3: Cross multiply
    385.30x = 577.55 × 166.04
  4. Step 4: Simplify right side
    385.30x = 95,896.40
  5. Step 5: Solve for x
    x = 95,896.40/385.30
  6. Step 6: Final answer
    x = 248.89

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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.