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Finding the Fourth Proportional to 261.00, 391.05 and 157.96

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Solution

The fourth proportional to 261.00, 391.05 and 157.96 is: 236.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    261.00 : 391.05 = 157.96 : x
  2. Step 2: Convert to fraction form
    261.00/391.05 = 157.96/x
  3. Step 3: Cross multiply
    261.00x = 391.05 × 157.96
  4. Step 4: Simplify right side
    261.00x = 61,771.63
  5. Step 5: Solve for x
    x = 61,771.63/261.00
  6. Step 6: Final answer
    x = 236.68

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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.