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Finding the Fourth Proportional to 385.47, 577.94 and 211.95

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Solution

The fourth proportional to 385.47, 577.94 and 211.95 is: 317.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    385.47 : 577.94 = 211.95 : x
  2. Step 2: Convert to fraction form
    385.47/577.94 = 211.95/x
  3. Step 3: Cross multiply
    385.47x = 577.94 × 211.95
  4. Step 4: Simplify right side
    385.47x = 122,493.32
  5. Step 5: Solve for x
    x = 122,493.32/385.47
  6. Step 6: Final answer
    x = 317.78

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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.