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Finding the Fourth Proportional to 407.37, 562.97 and 361.81

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Solution

The fourth proportional to 407.37, 562.97 and 361.81 is: 500.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    407.37 : 562.97 = 361.81 : x
  2. Step 2: Convert to fraction form
    407.37/562.97 = 361.81/x
  3. Step 3: Cross multiply
    407.37x = 562.97 × 361.81
  4. Step 4: Simplify right side
    407.37x = 203,687.67
  5. Step 5: Solve for x
    x = 203,687.67/407.37
  6. Step 6: Final answer
    x = 500.01

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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.