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Finding the Fourth Proportional to 385.63, 575.93 and 308.71

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Solution

The fourth proportional to 385.63, 575.93 and 308.71 is: 461.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    385.63 : 575.93 = 308.71 : x
  2. Step 2: Convert to fraction form
    385.63/575.93 = 308.71/x
  3. Step 3: Cross multiply
    385.63x = 575.93 × 308.71
  4. Step 4: Simplify right side
    385.63x = 177,795.35
  5. Step 5: Solve for x
    x = 177,795.35/385.63
  6. Step 6: Final answer
    x = 461.05

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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.