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Finding the Fourth Proportional to 261.71, 362.81 and 247.84

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Solution

The fourth proportional to 261.71, 362.81 and 247.84 is: 343.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    261.71 : 362.81 = 247.84 : x
  2. Step 2: Convert to fraction form
    261.71/362.81 = 247.84/x
  3. Step 3: Cross multiply
    261.71x = 362.81 × 247.84
  4. Step 4: Simplify right side
    261.71x = 89,918.83
  5. Step 5: Solve for x
    x = 89,918.83/261.71
  6. Step 6: Final answer
    x = 343.58

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.