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Finding the Fourth Proportional to 159.60, 218.22 and 155.28

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Solution

The fourth proportional to 159.60, 218.22 and 155.28 is: 212.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    159.60 : 218.22 = 155.28 : x
  2. Step 2: Convert to fraction form
    159.60/218.22 = 155.28/x
  3. Step 3: Cross multiply
    159.60x = 218.22 × 155.28
  4. Step 4: Simplify right side
    159.60x = 33,885.20
  5. Step 5: Solve for x
    x = 33,885.20/159.60
  6. Step 6: Final answer
    x = 212.31

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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.