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Finding the Fourth Proportional to 404.10, 557.16 and 299.04

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Solution

The fourth proportional to 404.10, 557.16 and 299.04 is: 412.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    404.10 : 557.16 = 299.04 : x
  2. Step 2: Convert to fraction form
    404.10/557.16 = 299.04/x
  3. Step 3: Cross multiply
    404.10x = 557.16 × 299.04
  4. Step 4: Simplify right side
    404.10x = 166,613.13
  5. Step 5: Solve for x
    x = 166,613.13/404.10
  6. Step 6: Final answer
    x = 412.31

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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.