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Finding the Fourth Proportional to 385.44, 577.80 and 168.90

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Solution

The fourth proportional to 385.44, 577.80 and 168.90 is: 253.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    385.44 : 577.80 = 168.90 : x
  2. Step 2: Convert to fraction form
    385.44/577.80 = 168.90/x
  3. Step 3: Cross multiply
    385.44x = 577.80 × 168.90
  4. Step 4: Simplify right side
    385.44x = 97,590.42
  5. Step 5: Solve for x
    x = 97,590.42/385.44
  6. Step 6: Final answer
    x = 253.19

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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.