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Finding the Fourth Proportional to 242.37, 365.38 and 230.49

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Solution

The fourth proportional to 242.37, 365.38 and 230.49 is: 347.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    242.37 : 365.38 = 230.49 : x
  2. Step 2: Convert to fraction form
    242.37/365.38 = 230.49/x
  3. Step 3: Cross multiply
    242.37x = 365.38 × 230.49
  4. Step 4: Simplify right side
    242.37x = 84,215.86
  5. Step 5: Solve for x
    x = 84,215.86/242.37
  6. Step 6: Final answer
    x = 347.47

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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.