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Finding the Fourth Proportional to 404.10, 556.29 and 362.64

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Solution

The fourth proportional to 404.10, 556.29 and 362.64 is: 499.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    404.10 : 556.29 = 362.64 : x
  2. Step 2: Convert to fraction form
    404.10/556.29 = 362.64/x
  3. Step 3: Cross multiply
    404.10x = 556.29 × 362.64
  4. Step 4: Simplify right side
    404.10x = 201,733.01
  5. Step 5: Solve for x
    x = 201,733.01/404.10
  6. Step 6: Final answer
    x = 499.22

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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.