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Finding the Fourth Proportional to 343.95, 474.26 and 233.51

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Solution

The fourth proportional to 343.95, 474.26 and 233.51 is: 321.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    343.95 : 474.26 = 233.51 : x
  2. Step 2: Convert to fraction form
    343.95/474.26 = 233.51/x
  3. Step 3: Cross multiply
    343.95x = 474.26 × 233.51
  4. Step 4: Simplify right side
    343.95x = 110,740.91
  5. Step 5: Solve for x
    x = 110,740.91/343.95
  6. Step 6: Final answer
    x = 321.97

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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.