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Finding the Fourth Proportional to 159.54, 219.69 and 147.02

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Solution

The fourth proportional to 159.54, 219.69 and 147.02 is: 202.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    159.54 : 219.69 = 147.02 : x
  2. Step 2: Convert to fraction form
    159.54/219.69 = 147.02/x
  3. Step 3: Cross multiply
    159.54x = 219.69 × 147.02
  4. Step 4: Simplify right side
    159.54x = 32,297.31
  5. Step 5: Solve for x
    x = 32,297.31/159.54
  6. Step 6: Final answer
    x = 202.43

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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.