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Finding the Fourth Proportional to 471.66, 651.54 and 361.38

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Solution

The fourth proportional to 471.66, 651.54 and 361.38 is: 499.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    471.66 : 651.54 = 361.38 : x
  2. Step 2: Convert to fraction form
    471.66/651.54 = 361.38/x
  3. Step 3: Cross multiply
    471.66x = 651.54 × 361.38
  4. Step 4: Simplify right side
    471.66x = 235,453.53
  5. Step 5: Solve for x
    x = 235,453.53/471.66
  6. Step 6: Final answer
    x = 499.20

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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.