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Finding the Fourth Proportional to 385.98, 578.75 and 264.38

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Solution

The fourth proportional to 385.98, 578.75 and 264.38 is: 396.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    385.98 : 578.75 = 264.38 : x
  2. Step 2: Convert to fraction form
    385.98/578.75 = 264.38/x
  3. Step 3: Cross multiply
    385.98x = 578.75 × 264.38
  4. Step 4: Simplify right side
    385.98x = 153,007.69
  5. Step 5: Solve for x
    x = 153,007.69/385.98
  6. Step 6: Final answer
    x = 396.42

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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.