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Finding the Fourth Proportional to 343.96, 474.75 and 233.62

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Solution

The fourth proportional to 343.96, 474.75 and 233.62 is: 322.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    343.96 : 474.75 = 233.62 : x
  2. Step 2: Convert to fraction form
    343.96/474.75 = 233.62/x
  3. Step 3: Cross multiply
    343.96x = 474.75 × 233.62
  4. Step 4: Simplify right side
    343.96x = 110,911.10
  5. Step 5: Solve for x
    x = 110,911.10/343.96
  6. Step 6: Final answer
    x = 322.45

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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.