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Finding the Fourth Proportional to 472.56, 651.96 and 298.14

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Solution

The fourth proportional to 472.56, 651.96 and 298.14 is: 411.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    472.56 : 651.96 = 298.14 : x
  2. Step 2: Convert to fraction form
    472.56/651.96 = 298.14/x
  3. Step 3: Cross multiply
    472.56x = 651.96 × 298.14
  4. Step 4: Simplify right side
    472.56x = 194,375.35
  5. Step 5: Solve for x
    x = 194,375.35/472.56
  6. Step 6: Final answer
    x = 411.32

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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.