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Finding the Fourth Proportional to 261.73, 391.79 and 188.49

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Solution

The fourth proportional to 261.73, 391.79 and 188.49 is: 282.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    261.73 : 391.79 = 188.49 : x
  2. Step 2: Convert to fraction form
    261.73/391.79 = 188.49/x
  3. Step 3: Cross multiply
    261.73x = 391.79 × 188.49
  4. Step 4: Simplify right side
    261.73x = 73,848.50
  5. Step 5: Solve for x
    x = 73,848.50/261.73
  6. Step 6: Final answer
    x = 282.16

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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.