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Finding the Fourth Proportional to 385.58, 578.64 and 190.64

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Solution

The fourth proportional to 385.58, 578.64 and 190.64 is: 286.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    385.58 : 578.64 = 190.64 : x
  2. Step 2: Convert to fraction form
    385.58/578.64 = 190.64/x
  3. Step 3: Cross multiply
    385.58x = 578.64 × 190.64
  4. Step 4: Simplify right side
    385.58x = 110,311.93
  5. Step 5: Solve for x
    x = 110,311.93/385.58
  6. Step 6: Final answer
    x = 286.09

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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.