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Finding the Fourth Proportional to 215.76, 297.76 and 123.76

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Solution

The fourth proportional to 215.76, 297.76 and 123.76 is: 170.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    215.76 : 297.76 = 123.76 : x
  2. Step 2: Convert to fraction form
    215.76/297.76 = 123.76/x
  3. Step 3: Cross multiply
    215.76x = 297.76 × 123.76
  4. Step 4: Simplify right side
    215.76x = 36,850.78
  5. Step 5: Solve for x
    x = 36,850.78/215.76
  6. Step 6: Final answer
    x = 170.80

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.