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Finding the Fourth Proportional to 436.61, 601.34 and 343.22

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Solution

The fourth proportional to 436.61, 601.34 and 343.22 is: 472.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    436.61 : 601.34 = 343.22 : x
  2. Step 2: Convert to fraction form
    436.61/601.34 = 343.22/x
  3. Step 3: Cross multiply
    436.61x = 601.34 × 343.22
  4. Step 4: Simplify right side
    436.61x = 206,387.19
  5. Step 5: Solve for x
    x = 206,387.19/436.61
  6. Step 6: Final answer
    x = 472.70

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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.