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Finding the Fourth Proportional to 160.57, 222.72 and 156.52

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Solution

The fourth proportional to 160.57, 222.72 and 156.52 is: 217.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    160.57 : 222.72 = 156.52 : x
  2. Step 2: Convert to fraction form
    160.57/222.72 = 156.52/x
  3. Step 3: Cross multiply
    160.57x = 222.72 × 156.52
  4. Step 4: Simplify right side
    160.57x = 34,860.13
  5. Step 5: Solve for x
    x = 34,860.13/160.57
  6. Step 6: Final answer
    x = 217.10

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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.