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Finding the Fourth Proportional to 385.42, 577.78 and 141.77

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Solution

The fourth proportional to 385.42, 577.78 and 141.77 is: 212.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    385.42 : 577.78 = 141.77 : x
  2. Step 2: Convert to fraction form
    385.42/577.78 = 141.77/x
  3. Step 3: Cross multiply
    385.42x = 577.78 × 141.77
  4. Step 4: Simplify right side
    385.42x = 81,911.87
  5. Step 5: Solve for x
    x = 81,911.87/385.42
  6. Step 6: Final answer
    x = 212.53

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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.