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Finding the Fourth Proportional to 343.23, 472.70 and 296.58

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Solution

The fourth proportional to 343.23, 472.70 and 296.58 is: 408.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    343.23 : 472.70 = 296.58 : x
  2. Step 2: Convert to fraction form
    343.23/472.70 = 296.58/x
  3. Step 3: Cross multiply
    343.23x = 472.70 × 296.58
  4. Step 4: Simplify right side
    343.23x = 140,195.88
  5. Step 5: Solve for x
    x = 140,195.88/343.23
  6. Step 6: Final answer
    x = 408.46

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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.