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Finding the Fourth Proportional to 472.00, 651.34 and 262.16

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Solution

The fourth proportional to 472.00, 651.34 and 262.16 is: 361.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    472.00 : 651.34 = 262.16 : x
  2. Step 2: Convert to fraction form
    472.00/651.34 = 262.16/x
  3. Step 3: Cross multiply
    472.00x = 651.34 × 262.16
  4. Step 4: Simplify right side
    472.00x = 170,757.38
  5. Step 5: Solve for x
    x = 170,757.38/472.00
  6. Step 6: Final answer
    x = 361.78

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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.