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Finding the Fourth Proportional to 404.24, 557.86 and 229.59

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Solution

The fourth proportional to 404.24, 557.86 and 229.59 is: 316.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    404.24 : 557.86 = 229.59 : x
  2. Step 2: Convert to fraction form
    404.24/557.86 = 229.59/x
  3. Step 3: Cross multiply
    404.24x = 557.86 × 229.59
  4. Step 4: Simplify right side
    404.24x = 128,079.08
  5. Step 5: Solve for x
    x = 128,079.08/404.24
  6. Step 6: Final answer
    x = 316.84

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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.