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Finding the Fourth Proportional to 261.38, 391.87 and 107.35

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Solution

The fourth proportional to 261.38, 391.87 and 107.35 is: 160.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    261.38 : 391.87 = 107.35 : x
  2. Step 2: Convert to fraction form
    261.38/391.87 = 107.35/x
  3. Step 3: Cross multiply
    261.38x = 391.87 × 107.35
  4. Step 4: Simplify right side
    261.38x = 42,066.40
  5. Step 5: Solve for x
    x = 42,066.40/261.38
  6. Step 6: Final answer
    x = 160.94

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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.