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Finding the Fourth Proportional to 385.75, 578.08 and 264.79

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Solution

The fourth proportional to 385.75, 578.08 and 264.79 is: 396.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    385.75 : 578.08 = 264.79 : x
  2. Step 2: Convert to fraction form
    385.75/578.08 = 264.79/x
  3. Step 3: Cross multiply
    385.75x = 578.08 × 264.79
  4. Step 4: Simplify right side
    385.75x = 153,069.80
  5. Step 5: Solve for x
    x = 153,069.80/385.75
  6. Step 6: Final answer
    x = 396.81

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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.