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Finding the Fourth Proportional to 405.29, 608.02 and 199.81

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Solution

The fourth proportional to 405.29, 608.02 and 199.81 is: 299.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    405.29 : 608.02 = 199.81 : x
  2. Step 2: Convert to fraction form
    405.29/608.02 = 199.81/x
  3. Step 3: Cross multiply
    405.29x = 608.02 × 199.81
  4. Step 4: Simplify right side
    405.29x = 121,486.46
  5. Step 5: Solve for x
    x = 121,486.46/405.29
  6. Step 6: Final answer
    x = 299.75

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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.