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Finding the Fourth Proportional to 242.14, 333.98 and 159.34

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Solution

The fourth proportional to 242.14, 333.98 and 159.34 is: 219.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    242.14 : 333.98 = 159.34 : x
  2. Step 2: Convert to fraction form
    242.14/333.98 = 159.34/x
  3. Step 3: Cross multiply
    242.14x = 333.98 × 159.34
  4. Step 4: Simplify right side
    242.14x = 53,216.37
  5. Step 5: Solve for x
    x = 53,216.37/242.14
  6. Step 6: Final answer
    x = 219.78

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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.