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Finding the Fourth Proportional to 385.50, 578.43 and 202.98

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Solution

The fourth proportional to 385.50, 578.43 and 202.98 is: 304.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    385.50 : 578.43 = 202.98 : x
  2. Step 2: Convert to fraction form
    385.50/578.43 = 202.98/x
  3. Step 3: Cross multiply
    385.50x = 578.43 × 202.98
  4. Step 4: Simplify right side
    385.50x = 117,409.72
  5. Step 5: Solve for x
    x = 117,409.72/385.50
  6. Step 6: Final answer
    x = 304.56

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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.