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Finding the Fourth Proportional to 385.35, 578.42 and 277.82

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Solution

The fourth proportional to 385.35, 578.42 and 277.82 is: 417.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    385.35 : 578.42 = 277.82 : x
  2. Step 2: Convert to fraction form
    385.35/578.42 = 277.82/x
  3. Step 3: Cross multiply
    385.35x = 578.42 × 277.82
  4. Step 4: Simplify right side
    385.35x = 160,696.64
  5. Step 5: Solve for x
    x = 160,696.64/385.35
  6. Step 6: Final answer
    x = 417.01

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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.