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Finding the Fourth Proportional to 159.80, 219.04 and 157.70

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Solution

The fourth proportional to 159.80, 219.04 and 157.70 is: 216.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    159.80 : 219.04 = 157.70 : x
  2. Step 2: Convert to fraction form
    159.80/219.04 = 157.70/x
  3. Step 3: Cross multiply
    159.80x = 219.04 × 157.70
  4. Step 4: Simplify right side
    159.80x = 34,542.61
  5. Step 5: Solve for x
    x = 34,542.61/159.80
  6. Step 6: Final answer
    x = 216.16

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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.