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Finding the Fourth Proportional to 385.54, 531.73 and 245.61

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Solution

The fourth proportional to 385.54, 531.73 and 245.61 is: 338.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    385.54 : 531.73 = 245.61 : x
  2. Step 2: Convert to fraction form
    385.54/531.73 = 245.61/x
  3. Step 3: Cross multiply
    385.54x = 531.73 × 245.61
  4. Step 4: Simplify right side
    385.54x = 130,597.59
  5. Step 5: Solve for x
    x = 130,597.59/385.54
  6. Step 6: Final answer
    x = 338.74

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.