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Finding the Fourth Proportional to 472.05, 651.40 and 262.21

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Solution

The fourth proportional to 472.05, 651.40 and 262.21 is: 361.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    472.05 : 651.40 = 262.21 : x
  2. Step 2: Convert to fraction form
    472.05/651.40 = 262.21/x
  3. Step 3: Cross multiply
    472.05x = 651.40 × 262.21
  4. Step 4: Simplify right side
    472.05x = 170,803.59
  5. Step 5: Solve for x
    x = 170,803.59/472.05
  6. Step 6: Final answer
    x = 361.83

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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.