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Finding the Fourth Proportional to 384.75, 577.14 and 110.85

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Solution

The fourth proportional to 384.75, 577.14 and 110.85 is: 166.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    384.75 : 577.14 = 110.85 : x
  2. Step 2: Convert to fraction form
    384.75/577.14 = 110.85/x
  3. Step 3: Cross multiply
    384.75x = 577.14 × 110.85
  4. Step 4: Simplify right side
    384.75x = 63,975.97
  5. Step 5: Solve for x
    x = 63,975.97/384.75
  6. Step 6: Final answer
    x = 166.28

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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.