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Finding the Fourth Proportional to 385.48, 578.38 and 202.99

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Solution

The fourth proportional to 385.48, 578.38 and 202.99 is: 304.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    385.48 : 578.38 = 202.99 : x
  2. Step 2: Convert to fraction form
    385.48/578.38 = 202.99/x
  3. Step 3: Cross multiply
    385.48x = 578.38 × 202.99
  4. Step 4: Simplify right side
    385.48x = 117,403.40
  5. Step 5: Solve for x
    x = 117,403.40/385.48
  6. Step 6: Final answer
    x = 304.57

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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.