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Finding the Fourth Proportional to 385.74, 575.65 and 344.73

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Solution

The fourth proportional to 385.74, 575.65 and 344.73 is: 514.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    385.74 : 575.65 = 344.73 : x
  2. Step 2: Convert to fraction form
    385.74/575.65 = 344.73/x
  3. Step 3: Cross multiply
    385.74x = 575.65 × 344.73
  4. Step 4: Simplify right side
    385.74x = 198,442.96
  5. Step 5: Solve for x
    x = 198,442.96/385.74
  6. Step 6: Final answer
    x = 514.45

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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.