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Finding the Fourth Proportional to 472.15, 651.34 and 306.42

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Solution

The fourth proportional to 472.15, 651.34 and 306.42 is: 422.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    472.15 : 651.34 = 306.42 : x
  2. Step 2: Convert to fraction form
    472.15/651.34 = 306.42/x
  3. Step 3: Cross multiply
    472.15x = 651.34 × 306.42
  4. Step 4: Simplify right side
    472.15x = 199,583.60
  5. Step 5: Solve for x
    x = 199,583.60/472.15
  6. Step 6: Final answer
    x = 422.71

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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.