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Finding the Fourth Proportional to 384.74, 577.18 and 110.88

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Solution

The fourth proportional to 384.74, 577.18 and 110.88 is: 166.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    384.74 : 577.18 = 110.88 : x
  2. Step 2: Convert to fraction form
    384.74/577.18 = 110.88/x
  3. Step 3: Cross multiply
    384.74x = 577.18 × 110.88
  4. Step 4: Simplify right side
    384.74x = 63,997.72
  5. Step 5: Solve for x
    x = 63,997.72/384.74
  6. Step 6: Final answer
    x = 166.34

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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.