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Finding the Fourth Proportional to 159.80, 219.22 and 152.05

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Solution

The fourth proportional to 159.80, 219.22 and 152.05 is: 208.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    159.80 : 219.22 = 152.05 : x
  2. Step 2: Convert to fraction form
    159.80/219.22 = 152.05/x
  3. Step 3: Cross multiply
    159.80x = 219.22 × 152.05
  4. Step 4: Simplify right side
    159.80x = 33,332.04
  5. Step 5: Solve for x
    x = 33,332.04/159.80
  6. Step 6: Final answer
    x = 208.59

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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.