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Finding the Fourth Proportional to 404.36, 558 and 229.64

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Solution

The fourth proportional to 404.36, 558 and 229.64 is: 316.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    404.36 : 558 = 229.64 : x
  2. Step 2: Convert to fraction form
    404.36/558 = 229.64/x
  3. Step 3: Cross multiply
    404.36x = 558 × 229.64
  4. Step 4: Simplify right side
    404.36x = 128,139.12
  5. Step 5: Solve for x
    x = 128,139.12/404.36
  6. Step 6: Final answer
    x = 316.89

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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.