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Finding the Fourth Proportional to 261.35, 391.69 and 107.10

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Solution

The fourth proportional to 261.35, 391.69 and 107.10 is: 160.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    261.35 : 391.69 = 107.10 : x
  2. Step 2: Convert to fraction form
    261.35/391.69 = 107.10/x
  3. Step 3: Cross multiply
    261.35x = 391.69 × 107.10
  4. Step 4: Simplify right side
    261.35x = 41,947.51
  5. Step 5: Solve for x
    x = 41,947.51/261.35
  6. Step 6: Final answer
    x = 160.50

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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.