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Finding the Fourth Proportional to 242.80, 365.72 and 231.44

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Solution

The fourth proportional to 242.80, 365.72 and 231.44 is: 348.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    242.80 : 365.72 = 231.44 : x
  2. Step 2: Convert to fraction form
    242.80/365.72 = 231.44/x
  3. Step 3: Cross multiply
    242.80x = 365.72 × 231.44
  4. Step 4: Simplify right side
    242.80x = 84,642.24
  5. Step 5: Solve for x
    x = 84,642.24/242.80
  6. Step 6: Final answer
    x = 348.61

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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.