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Finding the Fourth Proportional to 385.68, 575.90 and 303.60

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Solution

The fourth proportional to 385.68, 575.90 and 303.60 is: 453.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    385.68 : 575.90 = 303.60 : x
  2. Step 2: Convert to fraction form
    385.68/575.90 = 303.60/x
  3. Step 3: Cross multiply
    385.68x = 575.90 × 303.60
  4. Step 4: Simplify right side
    385.68x = 174,843.24
  5. Step 5: Solve for x
    x = 174,843.24/385.68
  6. Step 6: Final answer
    x = 453.34

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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.