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Finding the Fourth Proportional to 261.40, 391.82 and 170.17

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Solution

The fourth proportional to 261.40, 391.82 and 170.17 is: 255.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    261.40 : 391.82 = 170.17 : x
  2. Step 2: Convert to fraction form
    261.40/391.82 = 170.17/x
  3. Step 3: Cross multiply
    261.40x = 391.82 × 170.17
  4. Step 4: Simplify right side
    261.40x = 66,676.01
  5. Step 5: Solve for x
    x = 66,676.01/261.40
  6. Step 6: Final answer
    x = 255.07

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.