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Finding the Fourth Proportional to 344.11, 474.78 and 233.59

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Solution

The fourth proportional to 344.11, 474.78 and 233.59 is: 322.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    344.11 : 474.78 = 233.59 : x
  2. Step 2: Convert to fraction form
    344.11/474.78 = 233.59/x
  3. Step 3: Cross multiply
    344.11x = 474.78 × 233.59
  4. Step 4: Simplify right side
    344.11x = 110,903.86
  5. Step 5: Solve for x
    x = 110,903.86/344.11
  6. Step 6: Final answer
    x = 322.29

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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.