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Finding the Fourth Proportional to 385.15, 577.82 and 277.15

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Solution

The fourth proportional to 385.15, 577.82 and 277.15 is: 415.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    385.15 : 577.82 = 277.15 : x
  2. Step 2: Convert to fraction form
    385.15/577.82 = 277.15/x
  3. Step 3: Cross multiply
    385.15x = 577.82 × 277.15
  4. Step 4: Simplify right side
    385.15x = 160,142.81
  5. Step 5: Solve for x
    x = 160,142.81/385.15
  6. Step 6: Final answer
    x = 415.79

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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.