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Finding the Fourth Proportional to 405.15, 606.36 and 299.04

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Solution

The fourth proportional to 405.15, 606.36 and 299.04 is: 447.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    405.15 : 606.36 = 299.04 : x
  2. Step 2: Convert to fraction form
    405.15/606.36 = 299.04/x
  3. Step 3: Cross multiply
    405.15x = 606.36 × 299.04
  4. Step 4: Simplify right side
    405.15x = 181,325.89
  5. Step 5: Solve for x
    x = 181,325.89/405.15
  6. Step 6: Final answer
    x = 447.55

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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.