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Finding the Fourth Proportional to 242.30, 335.82 and 218

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Solution

The fourth proportional to 242.30, 335.82 and 218 is: 302.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    242.30 : 335.82 = 218 : x
  2. Step 2: Convert to fraction form
    242.30/335.82 = 218/x
  3. Step 3: Cross multiply
    242.30x = 335.82 × 218
  4. Step 4: Simplify right side
    242.30x = 73,208.76
  5. Step 5: Solve for x
    x = 73,208.76/242.30
  6. Step 6: Final answer
    x = 302.14

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.