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Finding the Fourth Proportional to 385.55, 577.71 and 211.95

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Solution

The fourth proportional to 385.55, 577.71 and 211.95 is: 317.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    385.55 : 577.71 = 211.95 : x
  2. Step 2: Convert to fraction form
    385.55/577.71 = 211.95/x
  3. Step 3: Cross multiply
    385.55x = 577.71 × 211.95
  4. Step 4: Simplify right side
    385.55x = 122,445.63
  5. Step 5: Solve for x
    x = 122,445.63/385.55
  6. Step 6: Final answer
    x = 317.59

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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.