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Finding the Fourth Proportional to 404.86, 607.02 and 199.48

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Solution

The fourth proportional to 404.86, 607.02 and 199.48 is: 299.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    404.86 : 607.02 = 199.48 : x
  2. Step 2: Convert to fraction form
    404.86/607.02 = 199.48/x
  3. Step 3: Cross multiply
    404.86x = 607.02 × 199.48
  4. Step 4: Simplify right side
    404.86x = 121,088.35
  5. Step 5: Solve for x
    x = 121,088.35/404.86
  6. Step 6: Final answer
    x = 299.09

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.