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Finding the Fourth Proportional to 160.76, 222.74 and 156.80

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Solution

The fourth proportional to 160.76, 222.74 and 156.80 is: 217.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    160.76 : 222.74 = 156.80 : x
  2. Step 2: Convert to fraction form
    160.76/222.74 = 156.80/x
  3. Step 3: Cross multiply
    160.76x = 222.74 × 156.80
  4. Step 4: Simplify right side
    160.76x = 34,925.63
  5. Step 5: Solve for x
    x = 34,925.63/160.76
  6. Step 6: Final answer
    x = 217.25

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.