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Finding the Fourth Proportional to 160.56, 220.26 and 156.30

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Solution

The fourth proportional to 160.56, 220.26 and 156.30 is: 214.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    160.56 : 220.26 = 156.30 : x
  2. Step 2: Convert to fraction form
    160.56/220.26 = 156.30/x
  3. Step 3: Cross multiply
    160.56x = 220.26 × 156.30
  4. Step 4: Simplify right side
    160.56x = 34,426.64
  5. Step 5: Solve for x
    x = 34,426.64/160.56
  6. Step 6: Final answer
    x = 214.42

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.