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Finding the Fourth Proportional to 472.25, 651.34 and 306.34

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Solution

The fourth proportional to 472.25, 651.34 and 306.34 is: 422.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    472.25 : 651.34 = 306.34 : x
  2. Step 2: Convert to fraction form
    472.25/651.34 = 306.34/x
  3. Step 3: Cross multiply
    472.25x = 651.34 × 306.34
  4. Step 4: Simplify right side
    472.25x = 199,531.50
  5. Step 5: Solve for x
    x = 199,531.50/472.25
  6. Step 6: Final answer
    x = 422.51

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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.