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Finding the Fourth Proportional to 261.68, 394.83 and 253.31

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Solution

The fourth proportional to 261.68, 394.83 and 253.31 is: 382.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    261.68 : 394.83 = 253.31 : x
  2. Step 2: Convert to fraction form
    261.68/394.83 = 253.31/x
  3. Step 3: Cross multiply
    261.68x = 394.83 × 253.31
  4. Step 4: Simplify right side
    261.68x = 100,012.41
  5. Step 5: Solve for x
    x = 100,012.41/261.68
  6. Step 6: Final answer
    x = 382.20

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.