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Finding the Fourth Proportional to 242.72, 364.09 and 78.20

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Solution

The fourth proportional to 242.72, 364.09 and 78.20 is: 117.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    242.72 : 364.09 = 78.20 : x
  2. Step 2: Convert to fraction form
    242.72/364.09 = 78.20/x
  3. Step 3: Cross multiply
    242.72x = 364.09 × 78.20
  4. Step 4: Simplify right side
    242.72x = 28,469.68
  5. Step 5: Solve for x
    x = 28,469.68/242.72
  6. Step 6: Final answer
    x = 117.29

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.