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Finding the Fourth Proportional to 242.72, 365.58 and 225.81

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Solution

The fourth proportional to 242.72, 365.58 and 225.81 is: 340.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    242.72 : 365.58 = 225.81 : x
  2. Step 2: Convert to fraction form
    242.72/365.58 = 225.81/x
  3. Step 3: Cross multiply
    242.72x = 365.58 × 225.81
  4. Step 4: Simplify right side
    242.72x = 82,551.62
  5. Step 5: Solve for x
    x = 82,551.62/242.72
  6. Step 6: Final answer
    x = 340.12

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.