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Finding the Fourth Proportional to 159.70, 223.10 and 159.70

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Solution

The fourth proportional to 159.70, 223.10 and 159.70 is: 223.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    159.70 : 223.10 = 159.70 : x
  2. Step 2: Convert to fraction form
    159.70/223.10 = 159.70/x
  3. Step 3: Cross multiply
    159.70x = 223.10 × 159.70
  4. Step 4: Simplify right side
    159.70x = 35,629.07
  5. Step 5: Solve for x
    x = 35,629.07/159.70
  6. Step 6: Final answer
    x = 223.10

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.