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Finding the Fourth Proportional to 160.71, 222.90 and 155.22

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Solution

The fourth proportional to 160.71, 222.90 and 155.22 is: 215.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    160.71 : 222.90 = 155.22 : x
  2. Step 2: Convert to fraction form
    160.71/222.90 = 155.22/x
  3. Step 3: Cross multiply
    160.71x = 222.90 × 155.22
  4. Step 4: Simplify right side
    160.71x = 34,598.54
  5. Step 5: Solve for x
    x = 34,598.54/160.71
  6. Step 6: Final answer
    x = 215.29

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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.