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Finding the Fourth Proportional to 385.34, 577.80 and 176.88

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Solution

The fourth proportional to 385.34, 577.80 and 176.88 is: 265.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    385.34 : 577.80 = 176.88 : x
  2. Step 2: Convert to fraction form
    385.34/577.80 = 176.88/x
  3. Step 3: Cross multiply
    385.34x = 577.80 × 176.88
  4. Step 4: Simplify right side
    385.34x = 102,201.26
  5. Step 5: Solve for x
    x = 102,201.26/385.34
  6. Step 6: Final answer
    x = 265.22

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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.