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Finding the Fourth Proportional to 385.35, 578.03 and 96.79

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Solution

The fourth proportional to 385.35, 578.03 and 96.79 is: 145.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    385.35 : 578.03 = 96.79 : x
  2. Step 2: Convert to fraction form
    385.35/578.03 = 96.79/x
  3. Step 3: Cross multiply
    385.35x = 578.03 × 96.79
  4. Step 4: Simplify right side
    385.35x = 55,944.15
  5. Step 5: Solve for x
    x = 55,944.15/385.35
  6. Step 6: Final answer
    x = 145.18

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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.