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Finding the Fourth Proportional to 342.37, 472.34 and 218.01

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Solution

The fourth proportional to 342.37, 472.34 and 218.01 is: 300.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    342.37 : 472.34 = 218.01 : x
  2. Step 2: Convert to fraction form
    342.37/472.34 = 218.01/x
  3. Step 3: Cross multiply
    342.37x = 472.34 × 218.01
  4. Step 4: Simplify right side
    342.37x = 102,975.39
  5. Step 5: Solve for x
    x = 102,975.39/342.37
  6. Step 6: Final answer
    x = 300.77

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.