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Finding the Fourth Proportional to 159.55, 220.30 and 142.92

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Solution

The fourth proportional to 159.55, 220.30 and 142.92 is: 197.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    159.55 : 220.30 = 142.92 : x
  2. Step 2: Convert to fraction form
    159.55/220.30 = 142.92/x
  3. Step 3: Cross multiply
    159.55x = 220.30 × 142.92
  4. Step 4: Simplify right side
    159.55x = 31,485.28
  5. Step 5: Solve for x
    x = 31,485.28/159.55
  6. Step 6: Final answer
    x = 197.34

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.