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Finding the Fourth Proportional to 385.16, 577.31 and 179.42

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Solution

The fourth proportional to 385.16, 577.31 and 179.42 is: 268.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    385.16 : 577.31 = 179.42 : x
  2. Step 2: Convert to fraction form
    385.16/577.31 = 179.42/x
  3. Step 3: Cross multiply
    385.16x = 577.31 × 179.42
  4. Step 4: Simplify right side
    385.16x = 103,577.18
  5. Step 5: Solve for x
    x = 103,577.18/385.16
  6. Step 6: Final answer
    x = 268.92

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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.