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Finding the Fourth Proportional to 159.83, 220.44 and 146.75

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Solution

The fourth proportional to 159.83, 220.44 and 146.75 is: 202.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    159.83 : 220.44 = 146.75 : x
  2. Step 2: Convert to fraction form
    159.83/220.44 = 146.75/x
  3. Step 3: Cross multiply
    159.83x = 220.44 × 146.75
  4. Step 4: Simplify right side
    159.83x = 32,350.12
  5. Step 5: Solve for x
    x = 32,350.12/159.83
  6. Step 6: Final answer
    x = 202.41

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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.