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Finding the Fourth Proportional to 157.84, 217.60 and 122.76

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Solution

The fourth proportional to 157.84, 217.60 and 122.76 is: 169.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    157.84 : 217.60 = 122.76 : x
  2. Step 2: Convert to fraction form
    157.84/217.60 = 122.76/x
  3. Step 3: Cross multiply
    157.84x = 217.60 × 122.76
  4. Step 4: Simplify right side
    157.84x = 26,712.58
  5. Step 5: Solve for x
    x = 26,712.58/157.84
  6. Step 6: Final answer
    x = 169.24

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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.