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Finding the Fourth Proportional to 385.57, 575.81 and 330.14

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Solution

The fourth proportional to 385.57, 575.81 and 330.14 is: 493.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    385.57 : 575.81 = 330.14 : x
  2. Step 2: Convert to fraction form
    385.57/575.81 = 330.14/x
  3. Step 3: Cross multiply
    385.57x = 575.81 × 330.14
  4. Step 4: Simplify right side
    385.57x = 190,097.70
  5. Step 5: Solve for x
    x = 190,097.70/385.57
  6. Step 6: Final answer
    x = 493.03

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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.