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Finding the Fourth Proportional to 385.35, 575.78 and 316.09

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Solution

The fourth proportional to 385.35, 575.78 and 316.09 is: 472.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    385.35 : 575.78 = 316.09 : x
  2. Step 2: Convert to fraction form
    385.35/575.78 = 316.09/x
  3. Step 3: Cross multiply
    385.35x = 575.78 × 316.09
  4. Step 4: Simplify right side
    385.35x = 181,998.30
  5. Step 5: Solve for x
    x = 181,998.30/385.35
  6. Step 6: Final answer
    x = 472.29

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.