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Finding the Fourth Proportional to 242.58, 365.81 and 236.58

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Solution

The fourth proportional to 242.58, 365.81 and 236.58 is: 356.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    242.58 : 365.81 = 236.58 : x
  2. Step 2: Convert to fraction form
    242.58/365.81 = 236.58/x
  3. Step 3: Cross multiply
    242.58x = 365.81 × 236.58
  4. Step 4: Simplify right side
    242.58x = 86,542.15
  5. Step 5: Solve for x
    x = 86,542.15/242.58
  6. Step 6: Final answer
    x = 356.76

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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.