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Finding the Fourth Proportional to 385.79, 578.82 and 203.06

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Solution

The fourth proportional to 385.79, 578.82 and 203.06 is: 304.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    385.79 : 578.82 = 203.06 : x
  2. Step 2: Convert to fraction form
    385.79/578.82 = 203.06/x
  3. Step 3: Cross multiply
    385.79x = 578.82 × 203.06
  4. Step 4: Simplify right side
    385.79x = 117,532.30
  5. Step 5: Solve for x
    x = 117,532.30/385.79
  6. Step 6: Final answer
    x = 304.66

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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.